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Finding the Fourth Proportional to 149,321.50, 206,063.67 and 82,253.50

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Solution

The fourth proportional to 149,321.50, 206,063.67 and 82,253.50 is: 113,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,321.50 : 206,063.67 = 82,253.50 : x
  2. Step 2: Convert to fraction form
    149,321.50/206,063.67 = 82,253.50/x
  3. Step 3: Cross multiply
    149,321.50x = 206,063.67 × 82,253.50
  4. Step 4: Simplify right side
    149,321.50x = 16,949,458,080.35
  5. Step 5: Solve for x
    x = 16,949,458,080.35/149,321.50
  6. Step 6: Final answer
    x = 113,509.83

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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.