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Finding the Fourth Proportional to 149,469.15, 206,286.04 and 85,805.58

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Solution

The fourth proportional to 149,469.15, 206,286.04 and 85,805.58 is: 118,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,469.15 : 206,286.04 = 85,805.58 : x
  2. Step 2: Convert to fraction form
    149,469.15/206,286.04 = 85,805.58/x
  3. Step 3: Cross multiply
    149,469.15x = 206,286.04 × 85,805.58
  4. Step 4: Simplify right side
    149,469.15x = 17,700,493,028.57
  5. Step 5: Solve for x
    x = 17,700,493,028.57/149,469.15
  6. Step 6: Final answer
    x = 118,422.39

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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.