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Finding the Fourth Proportional to 206,382.64, 284,687.06 and 129,780.26

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Solution

The fourth proportional to 206,382.64, 284,687.06 and 129,780.26 is: 179,020.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,382.64 : 284,687.06 = 129,780.26 : x
  2. Step 2: Convert to fraction form
    206,382.64/284,687.06 = 129,780.26/x
  3. Step 3: Cross multiply
    206,382.64x = 284,687.06 × 129,780.26
  4. Step 4: Simplify right side
    206,382.64x = 36,946,760,665.44
  5. Step 5: Solve for x
    x = 36,946,760,665.44/206,382.64
  6. Step 6: Final answer
    x = 179,020.68

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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.