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Finding the Fourth Proportional to 206,141.38, 284,470.14 and 115,501.16

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Solution

The fourth proportional to 206,141.38, 284,470.14 and 115,501.16 is: 159,388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,141.38 : 284,470.14 = 115,501.16 : x
  2. Step 2: Convert to fraction form
    206,141.38/284,470.14 = 115,501.16/x
  3. Step 3: Cross multiply
    206,141.38x = 284,470.14 × 115,501.16
  4. Step 4: Simplify right side
    206,141.38x = 32,856,632,299.67
  5. Step 5: Solve for x
    x = 32,856,632,299.67/206,141.38
  6. Step 6: Final answer
    x = 159,388.83

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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.