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Finding the Fourth Proportional to 273,811.20, 410,659.20 and 116,044.80

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Solution

The fourth proportional to 273,811.20, 410,659.20 and 116,044.80 is: 174,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,811.20 : 410,659.20 = 116,044.80 : x
  2. Step 2: Convert to fraction form
    273,811.20/410,659.20 = 116,044.80/x
  3. Step 3: Cross multiply
    273,811.20x = 410,659.20 × 116,044.80
  4. Step 4: Simplify right side
    273,811.20x = 47,654,864,732.16
  5. Step 5: Solve for x
    x = 47,654,864,732.16/273,811.20
  6. Step 6: Final answer
    x = 174,042.79

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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.