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Finding the Fourth Proportional to 133,819.20, 200,728.80 and 91,828.80

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Solution

The fourth proportional to 133,819.20, 200,728.80 and 91,828.80 is: 137,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,819.20 : 200,728.80 = 91,828.80 : x
  2. Step 2: Convert to fraction form
    133,819.20/200,728.80 = 91,828.80/x
  3. Step 3: Cross multiply
    133,819.20x = 200,728.80 × 91,828.80
  4. Step 4: Simplify right side
    133,819.20x = 18,432,684,829.44
  5. Step 5: Solve for x
    x = 18,432,684,829.44/133,819.20
  6. Step 6: Final answer
    x = 137,743.20

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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.