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Finding the Fourth Proportional to 168,020.16, 231,865.92 and 96,401.76

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Solution

The fourth proportional to 168,020.16, 231,865.92 and 96,401.76 is: 133,033.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,020.16 : 231,865.92 = 96,401.76 : x
  2. Step 2: Convert to fraction form
    168,020.16/231,865.92 = 96,401.76/x
  3. Step 3: Cross multiply
    168,020.16x = 231,865.92 × 96,401.76
  4. Step 4: Simplify right side
    168,020.16x = 22,352,282,772.02
  5. Step 5: Solve for x
    x = 22,352,282,772.02/168,020.16
  6. Step 6: Final answer
    x = 133,033.34

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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.