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Finding the Fourth Proportional to 123,474.38, 185,211.56 and 53,402.90

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Solution

The fourth proportional to 123,474.38, 185,211.56 and 53,402.90 is: 80,104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,474.38 : 185,211.56 = 53,402.90 : x
  2. Step 2: Convert to fraction form
    123,474.38/185,211.56 = 53,402.90/x
  3. Step 3: Cross multiply
    123,474.38x = 185,211.56 × 53,402.90
  4. Step 4: Simplify right side
    123,474.38x = 9,890,833,624.97
  5. Step 5: Solve for x
    x = 9,890,833,624.97/123,474.38
  6. Step 6: Final answer
    x = 80,104.34

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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.