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Finding the Fourth Proportional to 107,819.20, 161,728.80 and 65,828.80

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Solution

The fourth proportional to 107,819.20, 161,728.80 and 65,828.80 is: 98,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,819.20 : 161,728.80 = 65,828.80 : x
  2. Step 2: Convert to fraction form
    107,819.20/161,728.80 = 65,828.80/x
  3. Step 3: Cross multiply
    107,819.20x = 161,728.80 × 65,828.80
  4. Step 4: Simplify right side
    107,819.20x = 10,646,412,829.44
  5. Step 5: Solve for x
    x = 10,646,412,829.44/107,819.20
  6. Step 6: Final answer
    x = 98,743.20

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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.