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Finding the Fourth Proportional to 264,661.68, 396,769.37 and 114,789.14

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Solution

The fourth proportional to 264,661.68, 396,769.37 and 114,789.14 is: 172,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,661.68 : 396,769.37 = 114,789.14 : x
  2. Step 2: Convert to fraction form
    264,661.68/396,769.37 = 114,789.14/x
  3. Step 3: Cross multiply
    264,661.68x = 396,769.37 × 114,789.14
  4. Step 4: Simplify right side
    264,661.68x = 45,544,812,202.85
  5. Step 5: Solve for x
    x = 45,544,812,202.85/264,661.68
  6. Step 6: Final answer
    x = 172,086.92

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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.