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Finding the Fourth Proportional to 206,642.20, 285,092.92 and 135,063.52

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Solution

The fourth proportional to 206,642.20, 285,092.92 and 135,063.52 is: 186,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,642.20 : 285,092.92 = 135,063.52 : x
  2. Step 2: Convert to fraction form
    206,642.20/285,092.92 = 135,063.52/x
  3. Step 3: Cross multiply
    206,642.20x = 285,092.92 × 135,063.52
  4. Step 4: Simplify right side
    206,642.20x = 38,505,653,302.28
  5. Step 5: Solve for x
    x = 38,505,653,302.28/206,642.20
  6. Step 6: Final answer
    x = 186,339.74

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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.