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Finding the Fourth Proportional to 120,137.80, 180,209.10 and 31,385.80

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Solution

The fourth proportional to 120,137.80, 180,209.10 and 31,385.80 is: 47,079.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,137.80 : 180,209.10 = 31,385.80 : x
  2. Step 2: Convert to fraction form
    120,137.80/180,209.10 = 31,385.80/x
  3. Step 3: Cross multiply
    120,137.80x = 180,209.10 × 31,385.80
  4. Step 4: Simplify right side
    120,137.80x = 5,656,006,770.78
  5. Step 5: Solve for x
    x = 5,656,006,770.78/120,137.80
  6. Step 6: Final answer
    x = 47,079.33

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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.