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Finding the Fourth Proportional to 102,912.82, 154,627.62 and 65,489.20

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Solution

The fourth proportional to 102,912.82, 154,627.62 and 65,489.20 is: 98,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,912.82 : 154,627.62 = 65,489.20 : x
  2. Step 2: Convert to fraction form
    102,912.82/154,627.62 = 65,489.20/x
  3. Step 3: Cross multiply
    102,912.82x = 154,627.62 × 65,489.20
  4. Step 4: Simplify right side
    102,912.82x = 10,126,439,131.70
  5. Step 5: Solve for x
    x = 10,126,439,131.70/102,912.82
  6. Step 6: Final answer
    x = 98,398.23

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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.