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Finding the Fourth Proportional to 138,644.74, 207,967.16 and 38,819.66

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Solution

The fourth proportional to 138,644.74, 207,967.16 and 38,819.66 is: 58,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,644.74 : 207,967.16 = 38,819.66 : x
  2. Step 2: Convert to fraction form
    138,644.74/207,967.16 = 38,819.66/x
  3. Step 3: Cross multiply
    138,644.74x = 207,967.16 × 38,819.66
  4. Step 4: Simplify right side
    138,644.74x = 8,073,214,442.37
  5. Step 5: Solve for x
    x = 8,073,214,442.37/138,644.74
  6. Step 6: Final answer
    x = 58,229.50

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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.