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Finding the Fourth Proportional to 167,494.50, 231,142.41 and 92,043

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Solution

The fourth proportional to 167,494.50, 231,142.41 and 92,043 is: 127,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,494.50 : 231,142.41 = 92,043 : x
  2. Step 2: Convert to fraction form
    167,494.50/231,142.41 = 92,043/x
  3. Step 3: Cross multiply
    167,494.50x = 231,142.41 × 92,043
  4. Step 4: Simplify right side
    167,494.50x = 21,275,040,843.63
  5. Step 5: Solve for x
    x = 21,275,040,843.63/167,494.50
  6. Step 6: Final answer
    x = 127,019.34

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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.