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Finding the Fourth Proportional to 111,920.92, 167,824.34 and 54,998.62

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Solution

The fourth proportional to 111,920.92, 167,824.34 and 54,998.62 is: 82,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,920.92 : 167,824.34 = 54,998.62 : x
  2. Step 2: Convert to fraction form
    111,920.92/167,824.34 = 54,998.62/x
  3. Step 3: Cross multiply
    111,920.92x = 167,824.34 × 54,998.62
  4. Step 4: Simplify right side
    111,920.92x = 9,230,107,102.41
  5. Step 5: Solve for x
    x = 9,230,107,102.41/111,920.92
  6. Step 6: Final answer
    x = 82,469.90

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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.