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Finding the Fourth Proportional to 129,771, 194,677.56 and 50,842.44

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Solution

The fourth proportional to 129,771, 194,677.56 and 50,842.44 is: 76,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,771 : 194,677.56 = 50,842.44 : x
  2. Step 2: Convert to fraction form
    129,771/194,677.56 = 50,842.44/x
  3. Step 3: Cross multiply
    129,771x = 194,677.56 × 50,842.44
  4. Step 4: Simplify right side
    129,771x = 9,897,882,163.65
  5. Step 5: Solve for x
    x = 9,897,882,163.65/129,771
  6. Step 6: Final answer
    x = 76,271.91

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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.