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Finding the Fourth Proportional to 275,686.43, 413,540.17 and 86,164.25

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Solution

The fourth proportional to 275,686.43, 413,540.17 and 86,164.25 is: 129,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,686.43 : 413,540.17 = 86,164.25 : x
  2. Step 2: Convert to fraction form
    275,686.43/413,540.17 = 86,164.25/x
  3. Step 3: Cross multiply
    275,686.43x = 413,540.17 × 86,164.25
  4. Step 4: Simplify right side
    275,686.43x = 35,632,376,309.81
  5. Step 5: Solve for x
    x = 35,632,376,309.81/275,686.43
  6. Step 6: Final answer
    x = 129,249.66

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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.