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Finding the Fourth Proportional to 102,680.92, 153,954.96 and 67,513.96

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Solution

The fourth proportional to 102,680.92, 153,954.96 and 67,513.96 is: 101,227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,680.92 : 153,954.96 = 67,513.96 : x
  2. Step 2: Convert to fraction form
    102,680.92/153,954.96 = 67,513.96/x
  3. Step 3: Cross multiply
    102,680.92x = 153,954.96 × 67,513.96
  4. Step 4: Simplify right side
    102,680.92x = 10,394,109,011.24
  5. Step 5: Solve for x
    x = 10,394,109,011.24/102,680.92
  6. Step 6: Final answer
    x = 101,227.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.