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Finding the Fourth Proportional to 224,086.11, 309,234.84 and 122,112.30

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Solution

The fourth proportional to 224,086.11, 309,234.84 and 122,112.30 is: 168,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,086.11 : 309,234.84 = 122,112.30 : x
  2. Step 2: Convert to fraction form
    224,086.11/309,234.84 = 122,112.30/x
  3. Step 3: Cross multiply
    224,086.11x = 309,234.84 × 122,112.30
  4. Step 4: Simplify right side
    224,086.11x = 37,761,377,552.53
  5. Step 5: Solve for x
    x = 37,761,377,552.53/224,086.11
  6. Step 6: Final answer
    x = 168,512.80

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