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Finding the Fourth Proportional to 275,180.52, 412,743.09 and 75,520.98

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Solution

The fourth proportional to 275,180.52, 412,743.09 and 75,520.98 is: 113,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,180.52 : 412,743.09 = 75,520.98 : x
  2. Step 2: Convert to fraction form
    275,180.52/412,743.09 = 75,520.98/x
  3. Step 3: Cross multiply
    275,180.52x = 412,743.09 × 75,520.98
  4. Step 4: Simplify right side
    275,180.52x = 31,170,762,645.03
  5. Step 5: Solve for x
    x = 31,170,762,645.03/275,180.52
  6. Step 6: Final answer
    x = 113,273.87

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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.