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Finding the Fourth Proportional to 206,147.28, 284,481.36 and 115,507.20

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Solution

The fourth proportional to 206,147.28, 284,481.36 and 115,507.20 is: 159,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,147.28 : 284,481.36 = 115,507.20 : x
  2. Step 2: Convert to fraction form
    206,147.28/284,481.36 = 115,507.20/x
  3. Step 3: Cross multiply
    206,147.28x = 284,481.36 × 115,507.20
  4. Step 4: Simplify right side
    206,147.28x = 32,859,645,345.79
  5. Step 5: Solve for x
    x = 32,859,645,345.79/206,147.28
  6. Step 6: Final answer
    x = 159,398.88

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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.