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Finding the Fourth Proportional to 206,142.85, 284,351.39 and 136,291.90

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Solution

The fourth proportional to 206,142.85, 284,351.39 and 136,291.90 is: 187,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,142.85 : 284,351.39 = 136,291.90 : x
  2. Step 2: Convert to fraction form
    206,142.85/284,351.39 = 136,291.90/x
  3. Step 3: Cross multiply
    206,142.85x = 284,351.39 × 136,291.90
  4. Step 4: Simplify right side
    206,142.85x = 38,754,789,107.52
  5. Step 5: Solve for x
    x = 38,754,789,107.52/206,142.85
  6. Step 6: Final answer
    x = 187,999.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.