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Finding the Fourth Proportional to 206,414.38, 284,854.20 and 114,535.33

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Solution

The fourth proportional to 206,414.38, 284,854.20 and 114,535.33 is: 158,060.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,414.38 : 284,854.20 = 114,535.33 : x
  2. Step 2: Convert to fraction form
    206,414.38/284,854.20 = 114,535.33/x
  3. Step 3: Cross multiply
    206,414.38x = 284,854.20 × 114,535.33
  4. Step 4: Simplify right side
    206,414.38x = 32,625,869,798.89
  5. Step 5: Solve for x
    x = 32,625,869,798.89/206,414.38
  6. Step 6: Final answer
    x = 158,060.06

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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.