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Finding the Fourth Proportional to 206,677.80, 285,246.49 and 126,152.11

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Solution

The fourth proportional to 206,677.80, 285,246.49 and 126,152.11 is: 174,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,677.80 : 285,246.49 = 126,152.11 : x
  2. Step 2: Convert to fraction form
    206,677.80/285,246.49 = 126,152.11/x
  3. Step 3: Cross multiply
    206,677.80x = 285,246.49 × 126,152.11
  4. Step 4: Simplify right side
    206,677.80x = 35,984,446,583.59
  5. Step 5: Solve for x
    x = 35,984,446,583.59/206,677.80
  6. Step 6: Final answer
    x = 174,108.91

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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.