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Finding the Fourth Proportional to 123,744.30, 185,616.45 and 73,224.60

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Solution

The fourth proportional to 123,744.30, 185,616.45 and 73,224.60 is: 109,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,744.30 : 185,616.45 = 73,224.60 : x
  2. Step 2: Convert to fraction form
    123,744.30/185,616.45 = 73,224.60/x
  3. Step 3: Cross multiply
    123,744.30x = 185,616.45 × 73,224.60
  4. Step 4: Simplify right side
    123,744.30x = 13,591,690,304.67
  5. Step 5: Solve for x
    x = 13,591,690,304.67/123,744.30
  6. Step 6: Final answer
    x = 109,836.90

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Why These Related Problems?

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