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Finding the Fourth Proportional to 275,822.56, 413,733.87 and 88,834.06

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Solution

The fourth proportional to 275,822.56, 413,733.87 and 88,834.06 is: 133,251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,822.56 : 413,733.87 = 88,834.06 : x
  2. Step 2: Convert to fraction form
    275,822.56/413,733.87 = 88,834.06/x
  3. Step 3: Cross multiply
    275,822.56x = 413,733.87 × 88,834.06
  4. Step 4: Simplify right side
    275,822.56x = 36,753,660,132.82
  5. Step 5: Solve for x
    x = 36,753,660,132.82/275,822.56
  6. Step 6: Final answer
    x = 133,251.10

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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.