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Finding the Fourth Proportional to 167,136.82, 250,711.23 and 54,819.70

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Solution

The fourth proportional to 167,136.82, 250,711.23 and 54,819.70 is: 82,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,136.82 : 250,711.23 = 54,819.70 : x
  2. Step 2: Convert to fraction form
    167,136.82/250,711.23 = 54,819.70/x
  3. Step 3: Cross multiply
    167,136.82x = 250,711.23 × 54,819.70
  4. Step 4: Simplify right side
    167,136.82x = 13,743,914,415.23
  5. Step 5: Solve for x
    x = 13,743,914,415.23/167,136.82
  6. Step 6: Final answer
    x = 82,231.52

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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.