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Finding the Fourth Proportional to 196,452.38, 271,136.90 and 115,899.71

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Solution

The fourth proportional to 196,452.38, 271,136.90 and 115,899.71 is: 159,960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,452.38 : 271,136.90 = 115,899.71 : x
  2. Step 2: Convert to fraction form
    196,452.38/271,136.90 = 115,899.71/x
  3. Step 3: Cross multiply
    196,452.38x = 271,136.90 × 115,899.71
  4. Step 4: Simplify right side
    196,452.38x = 31,424,687,014.36
  5. Step 5: Solve for x
    x = 31,424,687,014.36/196,452.38
  6. Step 6: Final answer
    x = 159,960.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.