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Finding the Fourth Proportional to 138,540.20, 207,435.50 and 71,840.12

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Solution

The fourth proportional to 138,540.20, 207,435.50 and 71,840.12 is: 107,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,540.20 : 207,435.50 = 71,840.12 : x
  2. Step 2: Convert to fraction form
    138,540.20/207,435.50 = 71,840.12/x
  3. Step 3: Cross multiply
    138,540.20x = 207,435.50 × 71,840.12
  4. Step 4: Simplify right side
    138,540.20x = 14,902,191,212.26
  5. Step 5: Solve for x
    x = 14,902,191,212.26/138,540.20
  6. Step 6: Final answer
    x = 107,565.83

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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.