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Finding the Fourth Proportional to 185,893.98, 278,684.22 and 80,633.70

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Solution

The fourth proportional to 185,893.98, 278,684.22 and 80,633.70 is: 120,882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,893.98 : 278,684.22 = 80,633.70 : x
  2. Step 2: Convert to fraction form
    185,893.98/278,684.22 = 80,633.70/x
  3. Step 3: Cross multiply
    185,893.98x = 278,684.22 × 80,633.70
  4. Step 4: Simplify right side
    185,893.98x = 22,471,339,790.21
  5. Step 5: Solve for x
    x = 22,471,339,790.21/185,893.98
  6. Step 6: Final answer
    x = 120,882.56

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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.