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Finding the Fourth Proportional to 275,144.95, 412,745.70 and 95,230.02

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Solution

The fourth proportional to 275,144.95, 412,745.70 and 95,230.02 is: 142,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,144.95 : 412,745.70 = 95,230.02 : x
  2. Step 2: Convert to fraction form
    275,144.95/412,745.70 = 95,230.02/x
  3. Step 3: Cross multiply
    275,144.95x = 412,745.70 × 95,230.02
  4. Step 4: Simplify right side
    275,144.95x = 39,305,781,265.91
  5. Step 5: Solve for x
    x = 39,305,781,265.91/275,144.95
  6. Step 6: Final answer
    x = 142,854.82

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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.