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Finding the Fourth Proportional to 149,318.70, 206,059.80 and 82,250.70

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Solution

The fourth proportional to 149,318.70, 206,059.80 and 82,250.70 is: 113,505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,318.70 : 206,059.80 = 82,250.70 : x
  2. Step 2: Convert to fraction form
    149,318.70/206,059.80 = 82,250.70/x
  3. Step 3: Cross multiply
    149,318.70x = 206,059.80 × 82,250.70
  4. Step 4: Simplify right side
    149,318.70x = 16,948,562,791.86
  5. Step 5: Solve for x
    x = 16,948,562,791.86/149,318.70
  6. Step 6: Final answer
    x = 113,505.96

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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.