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Finding the Fourth Proportional to 192,321.61, 288,515.22 and 85,744.24

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Solution

The fourth proportional to 192,321.61, 288,515.22 and 85,744.24 is: 128,630.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,321.61 : 288,515.22 = 85,744.24 : x
  2. Step 2: Convert to fraction form
    192,321.61/288,515.22 = 85,744.24/x
  3. Step 3: Cross multiply
    192,321.61x = 288,515.22 × 85,744.24
  4. Step 4: Simplify right side
    192,321.61x = 24,738,517,224.50
  5. Step 5: Solve for x
    x = 24,738,517,224.50/192,321.61
  6. Step 6: Final answer
    x = 128,630.98

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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.