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Finding the Fourth Proportional to 123,327.50, 184,991.25 and 40,221.50

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Solution

The fourth proportional to 123,327.50, 184,991.25 and 40,221.50 is: 60,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,327.50 : 184,991.25 = 40,221.50 : x
  2. Step 2: Convert to fraction form
    123,327.50/184,991.25 = 40,221.50/x
  3. Step 3: Cross multiply
    123,327.50x = 184,991.25 × 40,221.50
  4. Step 4: Simplify right side
    123,327.50x = 7,440,625,561.88
  5. Step 5: Solve for x
    x = 7,440,625,561.88/123,327.50
  6. Step 6: Final answer
    x = 60,332.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.