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Finding the Fourth Proportional to 170,769.40, 256,058.10 and 65,591.80

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Solution

The fourth proportional to 170,769.40, 256,058.10 and 65,591.80 is: 98,350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,769.40 : 256,058.10 = 65,591.80 : x
  2. Step 2: Convert to fraction form
    170,769.40/256,058.10 = 65,591.80/x
  3. Step 3: Cross multiply
    170,769.40x = 256,058.10 × 65,591.80
  4. Step 4: Simplify right side
    170,769.40x = 16,795,311,683.58
  5. Step 5: Solve for x
    x = 16,795,311,683.58/170,769.40
  6. Step 6: Final answer
    x = 98,350.83

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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.