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Finding the Fourth Proportional to 317,067.57, 475,650.54 and 106,689.09

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Solution

The fourth proportional to 317,067.57, 475,650.54 and 106,689.09 is: 160,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,067.57 : 475,650.54 = 106,689.09 : x
  2. Step 2: Convert to fraction form
    317,067.57/475,650.54 = 106,689.09/x
  3. Step 3: Cross multiply
    317,067.57x = 475,650.54 × 106,689.09
  4. Step 4: Simplify right side
    317,067.57x = 50,746,723,270.61
  5. Step 5: Solve for x
    x = 50,746,723,270.61/317,067.57
  6. Step 6: Final answer
    x = 160,050.19

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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.