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Finding the Fourth Proportional to 120,433.80, 180,577.80 and 53,861.52

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Solution

The fourth proportional to 120,433.80, 180,577.80 and 53,861.52 is: 80,759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,433.80 : 180,577.80 = 53,861.52 : x
  2. Step 2: Convert to fraction form
    120,433.80/180,577.80 = 53,861.52/x
  3. Step 3: Cross multiply
    120,433.80x = 180,577.80 × 53,861.52
  4. Step 4: Simplify right side
    120,433.80x = 9,726,194,786.26
  5. Step 5: Solve for x
    x = 9,726,194,786.26/120,433.80
  6. Step 6: Final answer
    x = 80,759.68

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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.