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Finding the Fourth Proportional to 132,082.70, 198,136.20 and 53,180.60

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Solution

The fourth proportional to 132,082.70, 198,136.20 and 53,180.60 is: 79,775.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,082.70 : 198,136.20 = 53,180.60 : x
  2. Step 2: Convert to fraction form
    132,082.70/198,136.20 = 53,180.60/x
  3. Step 3: Cross multiply
    132,082.70x = 198,136.20 × 53,180.60
  4. Step 4: Simplify right side
    132,082.70x = 10,537,001,997.72
  5. Step 5: Solve for x
    x = 10,537,001,997.72/132,082.70
  6. Step 6: Final answer
    x = 79,775.79

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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.