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Finding the Fourth Proportional to 199,230.80, 274,930.52 and 108,584.87

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Solution

The fourth proportional to 199,230.80, 274,930.52 and 108,584.87 is: 149,842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,230.80 : 274,930.52 = 108,584.87 : x
  2. Step 2: Convert to fraction form
    199,230.80/274,930.52 = 108,584.87/x
  3. Step 3: Cross multiply
    199,230.80x = 274,930.52 × 108,584.87
  4. Step 4: Simplify right side
    199,230.80x = 29,853,292,855.66
  5. Step 5: Solve for x
    x = 29,853,292,855.66/199,230.80
  6. Step 6: Final answer
    x = 149,842.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.