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Finding the Fourth Proportional to 543,092.49, 814,694.18 and 188,105.85

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Solution

The fourth proportional to 543,092.49, 814,694.18 and 188,105.85 is: 282,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,092.49 : 814,694.18 = 188,105.85 : x
  2. Step 2: Convert to fraction form
    543,092.49/814,694.18 = 188,105.85/x
  3. Step 3: Cross multiply
    543,092.49x = 814,694.18 × 188,105.85
  4. Step 4: Simplify right side
    543,092.49x = 153,248,740,278.42
  5. Step 5: Solve for x
    x = 153,248,740,278.42/543,092.49
  6. Step 6: Final answer
    x = 282,177.98

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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.