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Finding the Fourth Proportional to 103,872.80, 155,578.80 and 80,423.20

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Solution

The fourth proportional to 103,872.80, 155,578.80 and 80,423.20 is: 120,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,872.80 : 155,578.80 = 80,423.20 : x
  2. Step 2: Convert to fraction form
    103,872.80/155,578.80 = 80,423.20/x
  3. Step 3: Cross multiply
    103,872.80x = 155,578.80 × 80,423.20
  4. Step 4: Simplify right side
    103,872.80x = 12,512,144,948.16
  5. Step 5: Solve for x
    x = 12,512,144,948.16/103,872.80
  6. Step 6: Final answer
    x = 120,456.41

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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.