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Finding the Fourth Proportional to 206,132.19, 309,190.18 and 86,158.15

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Solution

The fourth proportional to 206,132.19, 309,190.18 and 86,158.15 is: 129,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,132.19 : 309,190.18 = 86,158.15 : x
  2. Step 2: Convert to fraction form
    206,132.19/309,190.18 = 86,158.15/x
  3. Step 3: Cross multiply
    206,132.19x = 309,190.18 × 86,158.15
  4. Step 4: Simplify right side
    206,132.19x = 26,639,253,906.97
  5. Step 5: Solve for x
    x = 26,639,253,906.97/206,132.19
  6. Step 6: Final answer
    x = 129,233.84

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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.