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Finding the Fourth Proportional to 206,876.80, 310,315.20 and 82,217.80

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Solution

The fourth proportional to 206,876.80, 310,315.20 and 82,217.80 is: 123,326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876.80 : 310,315.20 = 82,217.80 : x
  2. Step 2: Convert to fraction form
    206,876.80/310,315.20 = 82,217.80/x
  3. Step 3: Cross multiply
    206,876.80x = 310,315.20 × 82,217.80
  4. Step 4: Simplify right side
    206,876.80x = 25,513,433,050.56
  5. Step 5: Solve for x
    x = 25,513,433,050.56/206,876.80
  6. Step 6: Final answer
    x = 123,326.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.