Constant force balance
Thanks for writing in! Your constant force balance assembly is assembled using the 15-180 Coil Balance Shoe. Be sure to compare the dimensions to confirm that this is what you need.
This assembly uses the Series 190 Coil Balance, secured to the shoe using the 33-073 screw. I wasn't able to make out any stamps on the coil, however, that is what you would use to select your coil from the list of available coil balances.
If there aren't any stamps or they are hard to read, you'll need to obtain the exact weight of the sash and divide that by the total number of coils in the window; in your case four.
You'll need the 15-181 Double Support Detent Clip and the 15-182 Balance Bushing for the plastic clip.