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Finding the Fourth Proportional to 167,922.96, 231,735.24 and 92,472

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Solution

The fourth proportional to 167,922.96, 231,735.24 and 92,472 is: 127,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,922.96 : 231,735.24 = 92,472 : x
  2. Step 2: Convert to fraction form
    167,922.96/231,735.24 = 92,472/x
  3. Step 3: Cross multiply
    167,922.96x = 231,735.24 × 92,472
  4. Step 4: Simplify right side
    167,922.96x = 21,429,021,113.28
  5. Step 5: Solve for x
    x = 21,429,021,113.28/167,922.96
  6. Step 6: Final answer
    x = 127,612.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.