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Finding the Fourth Proportional to 96,608.10, 144,912.15 and 80,019.30

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Solution

The fourth proportional to 96,608.10, 144,912.15 and 80,019.30 is: 120,028.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,608.10 : 144,912.15 = 80,019.30 : x
  2. Step 2: Convert to fraction form
    96,608.10/144,912.15 = 80,019.30/x
  3. Step 3: Cross multiply
    96,608.10x = 144,912.15 × 80,019.30
  4. Step 4: Simplify right side
    96,608.10x = 11,595,768,804.50
  5. Step 5: Solve for x
    x = 11,595,768,804.50/96,608.10
  6. Step 6: Final answer
    x = 120,028.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.