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Finding the Fourth Proportional to 273,993.60, 410,984.64 and 126,249.60

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Solution

The fourth proportional to 273,993.60, 410,984.64 and 126,249.60 is: 189,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,993.60 : 410,984.64 = 126,249.60 : x
  2. Step 2: Convert to fraction form
    273,993.60/410,984.64 = 126,249.60/x
  3. Step 3: Cross multiply
    273,993.60x = 410,984.64 × 126,249.60
  4. Step 4: Simplify right side
    273,993.60x = 51,886,646,406.14
  5. Step 5: Solve for x
    x = 51,886,646,406.14/273,993.60
  6. Step 6: Final answer
    x = 189,371.75

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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.