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Finding the Fourth Proportional to 149,952, 206,934 and 82,884

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Solution

The fourth proportional to 149,952, 206,934 and 82,884 is: 114,380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,952 : 206,934 = 82,884 : x
  2. Step 2: Convert to fraction form
    149,952/206,934 = 82,884/x
  3. Step 3: Cross multiply
    149,952x = 206,934 × 82,884
  4. Step 4: Simplify right side
    149,952x = 17,151,517,656
  5. Step 5: Solve for x
    x = 17,151,517,656/149,952
  6. Step 6: Final answer
    x = 114,380.05

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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.