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Finding the Fourth Proportional to 149,286.38, 206,015.20 and 85,628.27

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Solution

The fourth proportional to 149,286.38, 206,015.20 and 85,628.27 is: 118,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,286.38 : 206,015.20 = 85,628.27 : x
  2. Step 2: Convert to fraction form
    149,286.38/206,015.20 = 85,628.27/x
  3. Step 3: Cross multiply
    149,286.38x = 206,015.20 × 85,628.27
  4. Step 4: Simplify right side
    149,286.38x = 17,640,725,470.67
  5. Step 5: Solve for x
    x = 17,640,725,470.67/149,286.38
  6. Step 6: Final answer
    x = 118,167.02

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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.