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Finding the Fourth Proportional to 149,476.44, 206,160.80 and 95,766.44

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Solution

The fourth proportional to 149,476.44, 206,160.80 and 95,766.44 is: 132,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,476.44 : 206,160.80 = 95,766.44 : x
  2. Step 2: Convert to fraction form
    149,476.44/206,160.80 = 95,766.44/x
  3. Step 3: Cross multiply
    149,476.44x = 206,160.80 × 95,766.44
  4. Step 4: Simplify right side
    149,476.44x = 19,743,285,883.55
  5. Step 5: Solve for x
    x = 19,743,285,883.55/149,476.44
  6. Step 6: Final answer
    x = 132,082.93

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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.