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Finding the Fourth Proportional to 167,838.16, 231,589.56 and 96,205

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Solution

The fourth proportional to 167,838.16, 231,589.56 and 96,205 is: 132,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,838.16 : 231,589.56 = 96,205 : x
  2. Step 2: Convert to fraction form
    167,838.16/231,589.56 = 96,205/x
  3. Step 3: Cross multiply
    167,838.16x = 231,589.56 × 96,205
  4. Step 4: Simplify right side
    167,838.16x = 22,280,073,619.80
  5. Step 5: Solve for x
    x = 22,280,073,619.80/167,838.16
  6. Step 6: Final answer
    x = 132,747.37

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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.