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Finding the Fourth Proportional to 106,552.80, 159,958.80 and 80,049.60

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Solution

The fourth proportional to 106,552.80, 159,958.80 and 80,049.60 is: 120,171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,552.80 : 159,958.80 = 80,049.60 : x
  2. Step 2: Convert to fraction form
    106,552.80/159,958.80 = 80,049.60/x
  3. Step 3: Cross multiply
    106,552.80x = 159,958.80 × 80,049.60
  4. Step 4: Simplify right side
    106,552.80x = 12,804,637,956.48
  5. Step 5: Solve for x
    x = 12,804,637,956.48/106,552.80
  6. Step 6: Final answer
    x = 120,171.76

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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.