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Finding the Fourth Proportional to 206,793.98, 285,387.12 and 126,198.24

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Solution

The fourth proportional to 206,793.98, 285,387.12 and 126,198.24 is: 174,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,793.98 : 285,387.12 = 126,198.24 : x
  2. Step 2: Convert to fraction form
    206,793.98/285,387.12 = 126,198.24/x
  3. Step 3: Cross multiply
    206,793.98x = 285,387.12 × 126,198.24
  4. Step 4: Simplify right side
    206,793.98x = 36,015,352,262.67
  5. Step 5: Solve for x
    x = 36,015,352,262.67/206,793.98
  6. Step 6: Final answer
    x = 174,160.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.