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Finding the Fourth Proportional to 109,861.44, 164,766.96 and 65,500.80

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Solution

The fourth proportional to 109,861.44, 164,766.96 and 65,500.80 is: 98,236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,861.44 : 164,766.96 = 65,500.80 : x
  2. Step 2: Convert to fraction form
    109,861.44/164,766.96 = 65,500.80/x
  3. Step 3: Cross multiply
    109,861.44x = 164,766.96 × 65,500.80
  4. Step 4: Simplify right side
    109,861.44x = 10,792,367,693.57
  5. Step 5: Solve for x
    x = 10,792,367,693.57/109,861.44
  6. Step 6: Final answer
    x = 98,236.18

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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.