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Finding the Fourth Proportional to 342,136.38, 472,139.82 and 189,170.54

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Solution

The fourth proportional to 342,136.38, 472,139.82 and 189,170.54 is: 261,050.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,136.38 : 472,139.82 = 189,170.54 : x
  2. Step 2: Convert to fraction form
    342,136.38/472,139.82 = 189,170.54/x
  3. Step 3: Cross multiply
    342,136.38x = 472,139.82 × 189,170.54
  4. Step 4: Simplify right side
    342,136.38x = 89,314,942,344.20
  5. Step 5: Solve for x
    x = 89,314,942,344.20/342,136.38
  6. Step 6: Final answer
    x = 261,050.71

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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.