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Finding the Fourth Proportional to 149,336.76, 206,084.70 and 82,268.76

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Solution

The fourth proportional to 149,336.76, 206,084.70 and 82,268.76 is: 113,530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,336.76 : 206,084.70 = 82,268.76 : x
  2. Step 2: Convert to fraction form
    149,336.76/206,084.70 = 82,268.76/x
  3. Step 3: Cross multiply
    149,336.76x = 206,084.70 × 82,268.76
  4. Step 4: Simplify right side
    149,336.76x = 16,954,332,723.97
  5. Step 5: Solve for x
    x = 16,954,332,723.97/149,336.76
  6. Step 6: Final answer
    x = 113,530.87

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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.