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Finding the Fourth Proportional to 275,198.28, 412,855.72 and 88,341

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Solution

The fourth proportional to 275,198.28, 412,855.72 and 88,341 is: 132,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,198.28 : 412,855.72 = 88,341 : x
  2. Step 2: Convert to fraction form
    275,198.28/412,855.72 = 88,341/x
  3. Step 3: Cross multiply
    275,198.28x = 412,855.72 × 88,341
  4. Step 4: Simplify right side
    275,198.28x = 36,472,087,160.52
  5. Step 5: Solve for x
    x = 36,472,087,160.52/275,198.28
  6. Step 6: Final answer
    x = 132,530.21

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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.