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Finding the Fourth Proportional to 120,821.80, 180,874.30 and 89,794.60

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Solution

The fourth proportional to 120,821.80, 180,874.30 and 89,794.60 is: 134,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,821.80 : 180,874.30 = 89,794.60 : x
  2. Step 2: Convert to fraction form
    120,821.80/180,874.30 = 89,794.60/x
  3. Step 3: Cross multiply
    120,821.80x = 180,874.30 × 89,794.60
  4. Step 4: Simplify right side
    120,821.80x = 16,241,535,418.78
  5. Step 5: Solve for x
    x = 16,241,535,418.78/120,821.80
  6. Step 6: Final answer
    x = 134,425.54

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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.