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Finding the Fourth Proportional to 149,406.97, 206,181.62 and 82,338.97

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Solution

The fourth proportional to 149,406.97, 206,181.62 and 82,338.97 is: 113,627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,406.97 : 206,181.62 = 82,338.97 : x
  2. Step 2: Convert to fraction form
    149,406.97/206,181.62 = 82,338.97/x
  3. Step 3: Cross multiply
    149,406.97x = 206,181.62 × 82,338.97
  4. Step 4: Simplify right side
    149,406.97x = 16,976,782,017.88
  5. Step 5: Solve for x
    x = 16,976,782,017.88/149,406.97
  6. Step 6: Final answer
    x = 113,627.78

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1.5x scale

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.