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Finding the Fourth Proportional to 149,311.75, 206,050.22 and 82,243.75

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Solution

The fourth proportional to 149,311.75, 206,050.22 and 82,243.75 is: 113,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,311.75 : 206,050.22 = 82,243.75 : x
  2. Step 2: Convert to fraction form
    149,311.75/206,050.22 = 82,243.75/x
  3. Step 3: Cross multiply
    149,311.75x = 206,050.22 × 82,243.75
  4. Step 4: Simplify right side
    149,311.75x = 16,946,342,781.13
  5. Step 5: Solve for x
    x = 16,946,342,781.13/149,311.75
  6. Step 6: Final answer
    x = 113,496.38

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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.