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Finding the Fourth Proportional to 205,234.38, 283,220.75 and 114,591.89

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Solution

The fourth proportional to 205,234.38, 283,220.75 and 114,591.89 is: 158,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,234.38 : 283,220.75 = 114,591.89 : x
  2. Step 2: Convert to fraction form
    205,234.38/283,220.75 = 114,591.89/x
  3. Step 3: Cross multiply
    205,234.38x = 283,220.75 × 114,591.89
  4. Step 4: Simplify right side
    205,234.38x = 32,454,799,613.61
  5. Step 5: Solve for x
    x = 32,454,799,613.61/205,234.38
  6. Step 6: Final answer
    x = 158,135.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.