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Finding the Fourth Proportional to 206,902.80, 310,354.20 and 82,243.80

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Solution

The fourth proportional to 206,902.80, 310,354.20 and 82,243.80 is: 123,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,902.80 : 310,354.20 = 82,243.80 : x
  2. Step 2: Convert to fraction form
    206,902.80/310,354.20 = 82,243.80/x
  3. Step 3: Cross multiply
    206,902.80x = 310,354.20 × 82,243.80
  4. Step 4: Simplify right side
    206,902.80x = 25,524,708,753.96
  5. Step 5: Solve for x
    x = 25,524,708,753.96/206,902.80
  6. Step 6: Final answer
    x = 123,365.70

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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.