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Finding the Fourth Proportional to 206,840.27, 285,191.24 and 149,387.78

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Solution

The fourth proportional to 206,840.27, 285,191.24 and 149,387.78 is: 205,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,840.27 : 285,191.24 = 149,387.78 : x
  2. Step 2: Convert to fraction form
    206,840.27/285,191.24 = 149,387.78/x
  3. Step 3: Cross multiply
    206,840.27x = 285,191.24 × 149,387.78
  4. Step 4: Simplify right side
    206,840.27x = 42,604,084,046.15
  5. Step 5: Solve for x
    x = 42,604,084,046.15/206,840.27
  6. Step 6: Final answer
    x = 205,975.78

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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.