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Finding the Fourth Proportional to 111,451.30, 167,138.07 and 49,087.78

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Solution

The fourth proportional to 111,451.30, 167,138.07 and 49,087.78 is: 73,614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,451.30 : 167,138.07 = 49,087.78 : x
  2. Step 2: Convert to fraction form
    111,451.30/167,138.07 = 49,087.78/x
  3. Step 3: Cross multiply
    111,451.30x = 167,138.07 × 49,087.78
  4. Step 4: Simplify right side
    111,451.30x = 8,204,436,207.86
  5. Step 5: Solve for x
    x = 8,204,436,207.86/111,451.30
  6. Step 6: Final answer
    x = 73,614.54

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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.