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Finding the Fourth Proportional to 205,443.20, 308,164.80 and 65,212.80

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Solution

The fourth proportional to 205,443.20, 308,164.80 and 65,212.80 is: 97,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,443.20 : 308,164.80 = 65,212.80 : x
  2. Step 2: Convert to fraction form
    205,443.20/308,164.80 = 65,212.80/x
  3. Step 3: Cross multiply
    205,443.20x = 308,164.80 × 65,212.80
  4. Step 4: Simplify right side
    205,443.20x = 20,096,289,469.44
  5. Step 5: Solve for x
    x = 20,096,289,469.44/205,443.20
  6. Step 6: Final answer
    x = 97,819.20

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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.