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Finding the Fourth Proportional to 111,834.69, 167,793.21 and 51,891.86

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Solution

The fourth proportional to 111,834.69, 167,793.21 and 51,891.86 is: 77,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,834.69 : 167,793.21 = 51,891.86 : x
  2. Step 2: Convert to fraction form
    111,834.69/167,793.21 = 51,891.86/x
  3. Step 3: Cross multiply
    111,834.69x = 167,793.21 × 51,891.86
  4. Step 4: Simplify right side
    111,834.69x = 8,707,100,923.30
  5. Step 5: Solve for x
    x = 8,707,100,923.30/111,834.69
  6. Step 6: Final answer
    x = 77,856.89

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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.