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Finding the Fourth Proportional to 138,868, 208,337.52 and 40,372

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Solution

The fourth proportional to 138,868, 208,337.52 and 40,372 is: 60,568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,868 : 208,337.52 = 40,372 : x
  2. Step 2: Convert to fraction form
    138,868/208,337.52 = 40,372/x
  3. Step 3: Cross multiply
    138,868x = 208,337.52 × 40,372
  4. Step 4: Simplify right side
    138,868x = 8,411,002,357.44
  5. Step 5: Solve for x
    x = 8,411,002,357.44/138,868
  6. Step 6: Final answer
    x = 60,568.33

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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.