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Finding the Fourth Proportional to 178,456.22, 267,723.94 and 53,788.22

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Solution

The fourth proportional to 178,456.22, 267,723.94 and 53,788.22 is: 80,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,456.22 : 267,723.94 = 53,788.22 : x
  2. Step 2: Convert to fraction form
    178,456.22/267,723.94 = 53,788.22/x
  3. Step 3: Cross multiply
    178,456.22x = 267,723.94 × 53,788.22
  4. Step 4: Simplify right side
    178,456.22x = 14,400,394,183.99
  5. Step 5: Solve for x
    x = 14,400,394,183.99/178,456.22
  6. Step 6: Final answer
    x = 80,694.27

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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.