Find the mass radius product and angular locations of balancing mass

Question

In rotor system three unbalanced masses m₁ = 1.2 kg m₂ = 1.8 kg and m₃ = 2.4 kg. The radius and angular positions of these masses from the horizontal plane are R₁ = 1.135 m at 113.4° R₂ = 0.822 m at 48.8° and R₃ = 1.04 m at 251.4°. Two balancing masses of m_A and m_B are on left and right ends of the rotor respectively. The distances of unbalanced masses and right side balance mass from the left end unbalance mass m_A are l₁ = 0.854 m l₂ = 1.701 m l₃ = 2.396 m and l_B = 3.097 m. Find the mass radius product and angular locations of balancing mass m_A and m_B for dynamic balance of the rotor system.