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Finding the Fourth Proportional to 120,544.36, 180,819.87 and 45,650.53

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Solution

The fourth proportional to 120,544.36, 180,819.87 and 45,650.53 is: 68,477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,544.36 : 180,819.87 = 45,650.53 : x
  2. Step 2: Convert to fraction form
    120,544.36/180,819.87 = 45,650.53/x
  3. Step 3: Cross multiply
    120,544.36x = 180,819.87 × 45,650.53
  4. Step 4: Simplify right side
    120,544.36x = 8,254,522,900.03
  5. Step 5: Solve for x
    x = 8,254,522,900.03/120,544.36
  6. Step 6: Final answer
    x = 68,477.06

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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.