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Finding the Fourth Proportional to 206,818.80, 285,436.80 and 126,229.56

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Solution

The fourth proportional to 206,818.80, 285,436.80 and 126,229.56 is: 174,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,818.80 : 285,436.80 = 126,229.56 : x
  2. Step 2: Convert to fraction form
    206,818.80/285,436.80 = 126,229.56/x
  3. Step 3: Cross multiply
    206,818.80x = 285,436.80 × 126,229.56
  4. Step 4: Simplify right side
    206,818.80x = 36,030,561,671.81
  5. Step 5: Solve for x
    x = 36,030,561,671.81/206,818.80
  6. Step 6: Final answer
    x = 174,213.18

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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.