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Finding the Fourth Proportional to 149,305.04, 206,040.92 and 82,237.04

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Solution

The fourth proportional to 149,305.04, 206,040.92 and 82,237.04 is: 113,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,305.04 : 206,040.92 = 82,237.04 : x
  2. Step 2: Convert to fraction form
    149,305.04/206,040.92 = 82,237.04/x
  3. Step 3: Cross multiply
    149,305.04x = 206,040.92 × 82,237.04
  4. Step 4: Simplify right side
    149,305.04x = 16,944,195,379.68
  5. Step 5: Solve for x
    x = 16,944,195,379.68/149,305.04
  6. Step 6: Final answer
    x = 113,487.10

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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.