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Finding the Fourth Proportional to 129,638.70, 194,380.29 and 50,658.84

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Solution

The fourth proportional to 129,638.70, 194,380.29 and 50,658.84 is: 75,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,638.70 : 194,380.29 = 50,658.84 : x
  2. Step 2: Convert to fraction form
    129,638.70/194,380.29 = 50,658.84/x
  3. Step 3: Cross multiply
    129,638.70x = 194,380.29 × 50,658.84
  4. Step 4: Simplify right side
    129,638.70x = 9,847,080,010.26
  5. Step 5: Solve for x
    x = 9,847,080,010.26/129,638.70
  6. Step 6: Final answer
    x = 75,957.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.