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Finding the Fourth Proportional to 149,300.38, 206,034.52 and 82,232.38

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Solution

The fourth proportional to 149,300.38, 206,034.52 and 82,232.38 is: 113,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,300.38 : 206,034.52 = 82,232.38 : x
  2. Step 2: Convert to fraction form
    149,300.38/206,034.52 = 82,232.38/x
  3. Step 3: Cross multiply
    149,300.38x = 206,034.52 × 82,232.38
  4. Step 4: Simplify right side
    149,300.38x = 16,942,707,911.59
  5. Step 5: Solve for x
    x = 16,942,707,911.59/149,300.38
  6. Step 6: Final answer
    x = 113,480.68

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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.