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Finding the Fourth Proportional to 167,446.88, 231,082 and 91,996.96

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Solution

The fourth proportional to 167,446.88, 231,082 and 91,996.96 is: 126,958.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,446.88 : 231,082 = 91,996.96 : x
  2. Step 2: Convert to fraction form
    167,446.88/231,082 = 91,996.96/x
  3. Step 3: Cross multiply
    167,446.88x = 231,082 × 91,996.96
  4. Step 4: Simplify right side
    167,446.88x = 21,258,841,510.72
  5. Step 5: Solve for x
    x = 21,258,841,510.72/167,446.88
  6. Step 6: Final answer
    x = 126,958.72

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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.