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Finding the Fourth Proportional to 206,608.82, 309,805.70 and 73,469.73

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Solution

The fourth proportional to 206,608.82, 309,805.70 and 73,469.73 is: 110,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,608.82 : 309,805.70 = 73,469.73 : x
  2. Step 2: Convert to fraction form
    206,608.82/309,805.70 = 73,469.73/x
  3. Step 3: Cross multiply
    206,608.82x = 309,805.70 × 73,469.73
  4. Step 4: Simplify right side
    206,608.82x = 22,761,341,131.46
  5. Step 5: Solve for x
    x = 22,761,341,131.46/206,608.82
  6. Step 6: Final answer
    x = 110,166.36

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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.