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Finding the Fourth Proportional to 120,942.40, 181,442.40 and 50,785.60

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Solution

The fourth proportional to 120,942.40, 181,442.40 and 50,785.60 is: 76,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,942.40 : 181,442.40 = 50,785.60 : x
  2. Step 2: Convert to fraction form
    120,942.40/181,442.40 = 50,785.60/x
  3. Step 3: Cross multiply
    120,942.40x = 181,442.40 × 50,785.60
  4. Step 4: Simplify right side
    120,942.40x = 9,214,661,149.44
  5. Step 5: Solve for x
    x = 9,214,661,149.44/120,942.40
  6. Step 6: Final answer
    x = 76,190.49

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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.