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Finding the Fourth Proportional to 273,813.20, 410,662.20 and 116,046.80

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Solution

The fourth proportional to 273,813.20, 410,662.20 and 116,046.80 is: 174,045.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,813.20 : 410,662.20 = 116,046.80 : x
  2. Step 2: Convert to fraction form
    273,813.20/410,662.20 = 116,046.80/x
  3. Step 3: Cross multiply
    273,813.20x = 410,662.20 × 116,046.80
  4. Step 4: Simplify right side
    273,813.20x = 47,656,034,190.96
  5. Step 5: Solve for x
    x = 47,656,034,190.96/273,813.20
  6. Step 6: Final answer
    x = 174,045.79

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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.