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Finding the Fourth Proportional to 120,524.80, 180,754.80 and 50,389.60

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Solution

The fourth proportional to 120,524.80, 180,754.80 and 50,389.60 is: 75,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,524.80 : 180,754.80 = 50,389.60 : x
  2. Step 2: Convert to fraction form
    120,524.80/180,754.80 = 50,389.60/x
  3. Step 3: Cross multiply
    120,524.80x = 180,754.80 × 50,389.60
  4. Step 4: Simplify right side
    120,524.80x = 9,108,162,070.08
  5. Step 5: Solve for x
    x = 9,108,162,070.08/120,524.80
  6. Step 6: Final answer
    x = 75,570.85

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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.