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Finding the Fourth Proportional to 206,658.88, 285,115.84 and 135,080.16

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Solution

The fourth proportional to 206,658.88, 285,115.84 and 135,080.16 is: 186,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,658.88 : 285,115.84 = 135,080.16 : x
  2. Step 2: Convert to fraction form
    206,658.88/285,115.84 = 135,080.16/x
  3. Step 3: Cross multiply
    206,658.88x = 285,115.84 × 135,080.16
  4. Step 4: Simplify right side
    206,658.88x = 38,513,493,285.73
  5. Step 5: Solve for x
    x = 38,513,493,285.73/206,658.88
  6. Step 6: Final answer
    x = 186,362.63

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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.