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Finding the Fourth Proportional to 274,855.67, 412,549.59 and 132,800.91

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Solution

The fourth proportional to 274,855.67, 412,549.59 and 132,800.91 is: 199,329.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,855.67 : 412,549.59 = 132,800.91 : x
  2. Step 2: Convert to fraction form
    274,855.67/412,549.59 = 132,800.91/x
  3. Step 3: Cross multiply
    274,855.67x = 412,549.59 × 132,800.91
  4. Step 4: Simplify right side
    274,855.67x = 54,786,960,972.13
  5. Step 5: Solve for x
    x = 54,786,960,972.13/274,855.67
  6. Step 6: Final answer
    x = 199,329.93

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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.