A Boeing 747 aircraft weighing \(580,000 \mathrm{lb}\) when loaded with fuel and 100 passengers takes off with an airspeed of \(140 \mathrm{mph}\). With the same configuration (i.e., angle of attack, flap settings, etc.), what is its takeoff speed if it is loaded with 372 passengers? Assume each passenger with luggage weighs \(200 \mathrm{lb}\).