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Finding the Fourth Proportional to 167,679.72, 231,447.24 and 99,744.48

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Solution

The fourth proportional to 167,679.72, 231,447.24 and 99,744.48 is: 137,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,679.72 : 231,447.24 = 99,744.48 : x
  2. Step 2: Convert to fraction form
    167,679.72/231,447.24 = 99,744.48/x
  3. Step 3: Cross multiply
    167,679.72x = 231,447.24 × 99,744.48
  4. Step 4: Simplify right side
    167,679.72x = 23,085,584,601.24
  5. Step 5: Solve for x
    x = 23,085,584,601.24/167,679.72
  6. Step 6: Final answer
    x = 137,676.66

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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.