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Finding the Fourth Proportional to 232,993.92, 321,522.08 and 131,016.48

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Solution

The fourth proportional to 232,993.92, 321,522.08 and 131,016.48 is: 180,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,993.92 : 321,522.08 = 131,016.48 : x
  2. Step 2: Convert to fraction form
    232,993.92/321,522.08 = 131,016.48/x
  3. Step 3: Cross multiply
    232,993.92x = 321,522.08 × 131,016.48
  4. Step 4: Simplify right side
    232,993.92x = 42,124,691,163.88
  5. Step 5: Solve for x
    x = 42,124,691,163.88/232,993.92
  6. Step 6: Final answer
    x = 180,797.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.