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Finding the Fourth Proportional to 138,624.38, 191,301.78 and 74,962.16

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Solution

The fourth proportional to 138,624.38, 191,301.78 and 74,962.16 is: 103,447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,624.38 : 191,301.78 = 74,962.16 : x
  2. Step 2: Convert to fraction form
    138,624.38/191,301.78 = 74,962.16/x
  3. Step 3: Cross multiply
    138,624.38x = 191,301.78 × 74,962.16
  4. Step 4: Simplify right side
    138,624.38x = 14,340,394,640.64
  5. Step 5: Solve for x
    x = 14,340,394,640.64/138,624.38
  6. Step 6: Final answer
    x = 103,447.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.