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Finding the Fourth Proportional to 120,273.84, 180,313.56 and 50,205.60

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Solution

The fourth proportional to 120,273.84, 180,313.56 and 50,205.60 is: 75,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,273.84 : 180,313.56 = 50,205.60 : x
  2. Step 2: Convert to fraction form
    120,273.84/180,313.56 = 50,205.60/x
  3. Step 3: Cross multiply
    120,273.84x = 180,313.56 × 50,205.60
  4. Step 4: Simplify right side
    120,273.84x = 9,052,750,467.94
  5. Step 5: Solve for x
    x = 9,052,750,467.94/120,273.84
  6. Step 6: Final answer
    x = 75,267.83

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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.