Cable BAC passes through a frictionless ring A and is attached to fixed supports at $B$ and $C.$ Cables $AD$ and $AE$ are instead tied to the ring and attached to supports at $D$ and $E,$ respectively. Assuming the tension in cable $AE$ is $110$ lb $,$ determine the magnitude of load $P$ and the tensions in cables BAC and $AD.$

Answer: $447\mathrm{.}17lb$;$171\mathrm{.}6lb,60\mathrm{.}06lb$