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Finding the Fourth Proportional to 149,320.57, 206,062.38 and 82,252.57

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Solution

The fourth proportional to 149,320.57, 206,062.38 and 82,252.57 is: 113,508.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,320.57 : 206,062.38 = 82,252.57 : x
  2. Step 2: Convert to fraction form
    149,320.57/206,062.38 = 82,252.57/x
  3. Step 3: Cross multiply
    149,320.57x = 206,062.38 × 82,252.57
  4. Step 4: Simplify right side
    149,320.57x = 16,949,160,335.32
  5. Step 5: Solve for x
    x = 16,949,160,335.32/149,320.57
  6. Step 6: Final answer
    x = 113,508.54

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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.