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Finding the Fourth Proportional to 195,500, 269,791.44 and 106,076

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Solution

The fourth proportional to 195,500, 269,791.44 and 106,076 is: 146,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,500 : 269,791.44 = 106,076 : x
  2. Step 2: Convert to fraction form
    195,500/269,791.44 = 106,076/x
  3. Step 3: Cross multiply
    195,500x = 269,791.44 × 106,076
  4. Step 4: Simplify right side
    195,500x = 28,618,396,789.44
  5. Step 5: Solve for x
    x = 28,618,396,789.44/195,500
  6. Step 6: Final answer
    x = 146,385.66

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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.