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Finding the Fourth Proportional to 264,857.60, 396,979.20 and 106,982.40

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Solution

The fourth proportional to 264,857.60, 396,979.20 and 106,982.40 is: 160,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,857.60 : 396,979.20 = 106,982.40 : x
  2. Step 2: Convert to fraction form
    264,857.60/396,979.20 = 106,982.40/x
  3. Step 3: Cross multiply
    264,857.60x = 396,979.20 × 106,982.40
  4. Step 4: Simplify right side
    264,857.60x = 42,469,787,566.08
  5. Step 5: Solve for x
    x = 42,469,787,566.08/264,857.60
  6. Step 6: Final answer
    x = 160,349.51

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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.