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Finding the Fourth Proportional to 273,314.90, 410,049.15 and 133,078.10

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Solution

The fourth proportional to 273,314.90, 410,049.15 and 133,078.10 is: 199,654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,314.90 : 410,049.15 = 133,078.10 : x
  2. Step 2: Convert to fraction form
    273,314.90/410,049.15 = 133,078.10/x
  3. Step 3: Cross multiply
    273,314.90x = 410,049.15 × 133,078.10
  4. Step 4: Simplify right side
    273,314.90x = 54,568,561,788.62
  5. Step 5: Solve for x
    x = 54,568,561,788.62/273,314.90
  6. Step 6: Final answer
    x = 199,654.54

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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.