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Finding the Fourth Proportional to 177,679.46, 267,717.96 and 146,781.70

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Solution

The fourth proportional to 177,679.46, 267,717.96 and 146,781.70 is: 221,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,679.46 : 267,717.96 = 146,781.70 : x
  2. Step 2: Convert to fraction form
    177,679.46/267,717.96 = 146,781.70/x
  3. Step 3: Cross multiply
    177,679.46x = 267,717.96 × 146,781.70
  4. Step 4: Simplify right side
    177,679.46x = 39,296,096,922.38
  5. Step 5: Solve for x
    x = 39,296,096,922.38/177,679.46
  6. Step 6: Final answer
    x = 221,162.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.