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Finding the Fourth Proportional to 264,843.40, 396,930.30 and 106,983.40

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Solution

The fourth proportional to 264,843.40, 396,930.30 and 106,983.40 is: 160,339.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,843.40 : 396,930.30 = 106,983.40 : x
  2. Step 2: Convert to fraction form
    264,843.40/396,930.30 = 106,983.40/x
  3. Step 3: Cross multiply
    264,843.40x = 396,930.30 × 106,983.40
  4. Step 4: Simplify right side
    264,843.40x = 42,464,953,057.02
  5. Step 5: Solve for x
    x = 42,464,953,057.02/264,843.40
  6. Step 6: Final answer
    x = 160,339.86

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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.