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Finding the Fourth Proportional to 167,834.16, 231,584.04 and 96,201

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Solution

The fourth proportional to 167,834.16, 231,584.04 and 96,201 is: 132,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,834.16 : 231,584.04 = 96,201 : x
  2. Step 2: Convert to fraction form
    167,834.16/231,584.04 = 96,201/x
  3. Step 3: Cross multiply
    167,834.16x = 231,584.04 × 96,201
  4. Step 4: Simplify right side
    167,834.16x = 22,278,616,232.04
  5. Step 5: Solve for x
    x = 22,278,616,232.04/167,834.16
  6. Step 6: Final answer
    x = 132,741.85

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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.