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Finding the Fourth Proportional to 149,351, 206,104.38 and 82,284.44

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Solution

The fourth proportional to 149,351, 206,104.38 and 82,284.44 is: 113,552.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,351 : 206,104.38 = 82,284.44 : x
  2. Step 2: Convert to fraction form
    149,351/206,104.38 = 82,284.44/x
  3. Step 3: Cross multiply
    149,351x = 206,104.38 × 82,284.44
  4. Step 4: Simplify right side
    149,351x = 16,959,183,489.85
  5. Step 5: Solve for x
    x = 16,959,183,489.85/149,351
  6. Step 6: Final answer
    x = 113,552.53

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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.