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Finding the Fourth Proportional to 149,318.34, 206,059.26 and 82,250.34

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Solution

The fourth proportional to 149,318.34, 206,059.26 and 82,250.34 is: 113,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,318.34 : 206,059.26 = 82,250.34 : x
  2. Step 2: Convert to fraction form
    149,318.34/206,059.26 = 82,250.34/x
  3. Step 3: Cross multiply
    149,318.34x = 206,059.26 × 82,250.34
  4. Step 4: Simplify right side
    149,318.34x = 16,948,444,195.15
  5. Step 5: Solve for x
    x = 16,948,444,195.15/149,318.34
  6. Step 6: Final answer
    x = 113,505.44

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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.