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Finding the Fourth Proportional to 131,440.80, 197,161.20 and 78,823.20

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Solution

The fourth proportional to 131,440.80, 197,161.20 and 78,823.20 is: 118,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,440.80 : 197,161.20 = 78,823.20 : x
  2. Step 2: Convert to fraction form
    131,440.80/197,161.20 = 78,823.20/x
  3. Step 3: Cross multiply
    131,440.80x = 197,161.20 × 78,823.20
  4. Step 4: Simplify right side
    131,440.80x = 15,540,876,699.84
  5. Step 5: Solve for x
    x = 15,540,876,699.84/131,440.80
  6. Step 6: Final answer
    x = 118,234.80

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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.