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Finding the Fourth Proportional to 206,142.38, 284,471.53 and 115,502.17

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Solution

The fourth proportional to 206,142.38, 284,471.53 and 115,502.17 is: 159,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,142.38 : 284,471.53 = 115,502.17 : x
  2. Step 2: Convert to fraction form
    206,142.38/284,471.53 = 115,502.17/x
  3. Step 3: Cross multiply
    206,142.38x = 284,471.53 × 115,502.17
  4. Step 4: Simplify right side
    206,142.38x = 32,857,077,018.35
  5. Step 5: Solve for x
    x = 32,857,077,018.35/206,142.38
  6. Step 6: Final answer
    x = 159,390.21

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Why These Related Problems?

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