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Finding the Fourth Proportional to 206,076.62, 284,382.42 and 115,432.28

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Solution

The fourth proportional to 206,076.62, 284,382.42 and 115,432.28 is: 159,294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,076.62 : 284,382.42 = 115,432.28 : x
  2. Step 2: Convert to fraction form
    206,076.62/284,382.42 = 115,432.28/x
  3. Step 3: Cross multiply
    206,076.62x = 284,382.42 × 115,432.28
  4. Step 4: Simplify right side
    206,076.62x = 32,826,911,132.52
  5. Step 5: Solve for x
    x = 32,826,911,132.52/206,076.62
  6. Step 6: Final answer
    x = 159,294.69

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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.