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Finding the Fourth Proportional to 206,658.49, 285,323.19 and 126,132.70

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Solution

The fourth proportional to 206,658.49, 285,323.19 and 126,132.70 is: 174,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,658.49 : 285,323.19 = 126,132.70 : x
  2. Step 2: Convert to fraction form
    206,658.49/285,323.19 = 126,132.70/x
  3. Step 3: Cross multiply
    206,658.49x = 285,323.19 × 126,132.70
  4. Step 4: Simplify right side
    206,658.49x = 35,988,584,327.31
  5. Step 5: Solve for x
    x = 35,988,584,327.31/206,658.49
  6. Step 6: Final answer
    x = 174,145.20

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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.