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Finding the Fourth Proportional to 120,091.99, 180,122.50 and 53,516.98

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Solution

The fourth proportional to 120,091.99, 180,122.50 and 53,516.98 is: 80,268.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,091.99 : 180,122.50 = 53,516.98 : x
  2. Step 2: Convert to fraction form
    120,091.99/180,122.50 = 53,516.98/x
  3. Step 3: Cross multiply
    120,091.99x = 180,122.50 × 53,516.98
  4. Step 4: Simplify right side
    120,091.99x = 9,639,612,230.05
  5. Step 5: Solve for x
    x = 9,639,612,230.05/120,091.99
  6. Step 6: Final answer
    x = 80,268.57

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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.