Basic Circuit Q: Voltage at Top & Bottom Nodes

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Homework Statement


I have a question about the voltages at the top and bottom node


Homework Equations



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The Attempt at a Solution



If I make the mid-left node the reference node, and let's say V = 125V, then both the top and bottom nodes (in the middle branch) should be 125V and the middle (in the middle branch) should also be 0V, correct?
 

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You could say that if R3 was equal to R4.

Do you know that it is?
 
If I'm only concerned about the currents, do I even need to know the voltages at the nodes?

I have all the source values and resistor values.
 
I solved the question using a combination of loop (mesh) analysis and KCL.

Does this sound like a valid strategy?

I'm asking because I can't afford to lose HW marks.

Thanks.
 
Go around the nodes and make sure the currents add up OK. Go around the loops and make sure the voltages add up OK.

If this shows it is OK then, sure, whatever works is fair enough, unless you are told to do it by some other particular method.