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Finding the Fourth Proportional to 150,793.80, 208,098.92 and 86,269.09

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Solution

The fourth proportional to 150,793.80, 208,098.92 and 86,269.09 is: 119,053.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,793.80 : 208,098.92 = 86,269.09 : x
  2. Step 2: Convert to fraction form
    150,793.80/208,098.92 = 86,269.09/x
  3. Step 3: Cross multiply
    150,793.80x = 208,098.92 × 86,269.09
  4. Step 4: Simplify right side
    150,793.80x = 17,952,504,458.38
  5. Step 5: Solve for x
    x = 17,952,504,458.38/150,793.80
  6. Step 6: Final answer
    x = 119,053.33

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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.