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Finding the Fourth Proportional to 218,633.48, 327,650.87 and 111,793.97

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Solution

The fourth proportional to 218,633.48, 327,650.87 and 111,793.97 is: 167,537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,633.48 : 327,650.87 = 111,793.97 : x
  2. Step 2: Convert to fraction form
    218,633.48/327,650.87 = 111,793.97/x
  3. Step 3: Cross multiply
    218,633.48x = 327,650.87 × 111,793.97
  4. Step 4: Simplify right side
    218,633.48x = 36,629,392,629.87
  5. Step 5: Solve for x
    x = 36,629,392,629.87/218,633.48
  6. Step 6: Final answer
    x = 167,537.89

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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.