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Finding the Fourth Proportional to 206,434.52, 284,865.84 and 115,789.56

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Solution

The fourth proportional to 206,434.52, 284,865.84 and 115,789.56 is: 159,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,434.52 : 284,865.84 = 115,789.56 : x
  2. Step 2: Convert to fraction form
    206,434.52/284,865.84 = 115,789.56/x
  3. Step 3: Cross multiply
    206,434.52x = 284,865.84 × 115,789.56
  4. Step 4: Simplify right side
    206,434.52x = 32,984,490,272.63
  5. Step 5: Solve for x
    x = 32,984,490,272.63/206,434.52
  6. Step 6: Final answer
    x = 159,781.85

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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.