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Finding the Fourth Proportional to 120,096, 180,142.56 and 112,788.72

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Solution

The fourth proportional to 120,096, 180,142.56 and 112,788.72 is: 169,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,096 : 180,142.56 = 112,788.72 : x
  2. Step 2: Convert to fraction form
    120,096/180,142.56 = 112,788.72/x
  3. Step 3: Cross multiply
    120,096x = 180,142.56 × 112,788.72
  4. Step 4: Simplify right side
    120,096x = 20,318,048,759.92
  5. Step 5: Solve for x
    x = 20,318,048,759.92/120,096
  6. Step 6: Final answer
    x = 169,181.73

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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.