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Finding the Fourth Proportional to 206,883.38, 310,324.50 and 55,080.46

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Solution

The fourth proportional to 206,883.38, 310,324.50 and 55,080.46 is: 82,620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,883.38 : 310,324.50 = 55,080.46 : x
  2. Step 2: Convert to fraction form
    206,883.38/310,324.50 = 55,080.46/x
  3. Step 3: Cross multiply
    206,883.38x = 310,324.50 × 55,080.46
  4. Step 4: Simplify right side
    206,883.38x = 17,092,816,209.27
  5. Step 5: Solve for x
    x = 17,092,816,209.27/206,883.38
  6. Step 6: Final answer
    x = 82,620.54

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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.