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Finding the Fourth Proportional to 199,440.56, 298,630.92 and 120,447.92

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Solution

The fourth proportional to 199,440.56, 298,630.92 and 120,447.92 is: 180,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,440.56 : 298,630.92 = 120,447.92 : x
  2. Step 2: Convert to fraction form
    199,440.56/298,630.92 = 120,447.92/x
  3. Step 3: Cross multiply
    199,440.56x = 298,630.92 × 120,447.92
  4. Step 4: Simplify right side
    199,440.56x = 35,969,473,161.69
  5. Step 5: Solve for x
    x = 35,969,473,161.69/199,440.56
  6. Step 6: Final answer
    x = 180,351.85

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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.