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Finding the Fourth Proportional to 198,451.59, 273,863.72 and 107,806.82

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Solution

The fourth proportional to 198,451.59, 273,863.72 and 107,806.82 is: 148,773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,451.59 : 273,863.72 = 107,806.82 : x
  2. Step 2: Convert to fraction form
    198,451.59/273,863.72 = 107,806.82/x
  3. Step 3: Cross multiply
    198,451.59x = 273,863.72 × 107,806.82
  4. Step 4: Simplify right side
    198,451.59x = 29,524,375,060.36
  5. Step 5: Solve for x
    x = 29,524,375,060.36/198,451.59
  6. Step 6: Final answer
    x = 148,773.69

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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.