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Finding the Fourth Proportional to 120,114.87, 180,184.61 and 41,218.84

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Solution

The fourth proportional to 120,114.87, 180,184.61 and 41,218.84 is: 61,832.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,114.87 : 180,184.61 = 41,218.84 : x
  2. Step 2: Convert to fraction form
    120,114.87/180,184.61 = 41,218.84/x
  3. Step 3: Cross multiply
    120,114.87x = 180,184.61 × 41,218.84
  4. Step 4: Simplify right side
    120,114.87x = 7,427,000,610.05
  5. Step 5: Solve for x
    x = 7,427,000,610.05/120,114.87
  6. Step 6: Final answer
    x = 61,832.48

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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.