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Finding the Fourth Proportional to 167,344.56, 231,390.18 and 164,640.78

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Solution

The fourth proportional to 167,344.56, 231,390.18 and 164,640.78 is: 227,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,344.56 : 231,390.18 = 164,640.78 : x
  2. Step 2: Convert to fraction form
    167,344.56/231,390.18 = 164,640.78/x
  3. Step 3: Cross multiply
    167,344.56x = 231,390.18 × 164,640.78
  4. Step 4: Simplify right side
    167,344.56x = 38,096,259,719.54
  5. Step 5: Solve for x
    x = 38,096,259,719.54/167,344.56
  6. Step 6: Final answer
    x = 227,651.62

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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.