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Finding the Fourth Proportional to 218,234.18, 327,408.24 and 68,479.22

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Solution

The fourth proportional to 218,234.18, 327,408.24 and 68,479.22 is: 102,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,234.18 : 327,408.24 = 68,479.22 : x
  2. Step 2: Convert to fraction form
    218,234.18/327,408.24 = 68,479.22/x
  3. Step 3: Cross multiply
    218,234.18x = 327,408.24 × 68,479.22
  4. Step 4: Simplify right side
    218,234.18x = 22,420,660,896.77
  5. Step 5: Solve for x
    x = 22,420,660,896.77/218,234.18
  6. Step 6: Final answer
    x = 102,736.71

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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.