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Finding the Fourth Proportional to 120,106.60, 180,163.56 and 41,219.68

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Solution

The fourth proportional to 120,106.60, 180,163.56 and 41,219.68 is: 61,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,106.60 : 180,163.56 = 41,219.68 : x
  2. Step 2: Convert to fraction form
    120,106.60/180,163.56 = 41,219.68/x
  3. Step 3: Cross multiply
    120,106.60x = 180,163.56 × 41,219.68
  4. Step 4: Simplify right side
    120,106.60x = 7,426,284,290.86
  5. Step 5: Solve for x
    x = 7,426,284,290.86/120,106.60
  6. Step 6: Final answer
    x = 61,830.78

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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.