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Finding the Fourth Proportional to 149,299.31, 206,033.06 and 82,231.31

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Solution

The fourth proportional to 149,299.31, 206,033.06 and 82,231.31 is: 113,479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,299.31 : 206,033.06 = 82,231.31 : x
  2. Step 2: Convert to fraction form
    149,299.31/206,033.06 = 82,231.31/x
  3. Step 3: Cross multiply
    149,299.31x = 206,033.06 × 82,231.31
  4. Step 4: Simplify right side
    149,299.31x = 16,942,368,531.03
  5. Step 5: Solve for x
    x = 16,942,368,531.03/149,299.31
  6. Step 6: Final answer
    x = 113,479.21

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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.