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Finding the Fourth Proportional to 120,079.91, 180,123.51 and 41,193

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Solution

The fourth proportional to 120,079.91, 180,123.51 and 41,193 is: 61,790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,079.91 : 180,123.51 = 41,193 : x
  2. Step 2: Convert to fraction form
    120,079.91/180,123.51 = 41,193/x
  3. Step 3: Cross multiply
    120,079.91x = 180,123.51 × 41,193
  4. Step 4: Simplify right side
    120,079.91x = 7,419,827,901.90
  5. Step 5: Solve for x
    x = 7,419,827,901.90/120,079.91
  6. Step 6: Final answer
    x = 61,790.75

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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.