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Finding the Fourth Proportional to 120,213.09, 180,336.04 and 50,076

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Solution

The fourth proportional to 120,213.09, 180,336.04 and 50,076 is: 75,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,213.09 : 180,336.04 = 50,076 : x
  2. Step 2: Convert to fraction form
    120,213.09/180,336.04 = 50,076/x
  3. Step 3: Cross multiply
    120,213.09x = 180,336.04 × 50,076
  4. Step 4: Simplify right side
    120,213.09x = 9,030,507,413.85
  5. Step 5: Solve for x
    x = 9,030,507,413.85/120,213.09
  6. Step 6: Final answer
    x = 75,120.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.