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Finding the Fourth Proportional to 317,078.24, 475,690.56 and 106,711.04

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Solution

The fourth proportional to 317,078.24, 475,690.56 and 106,711.04 is: 160,091.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,078.24 : 475,690.56 = 106,711.04 : x
  2. Step 2: Convert to fraction form
    317,078.24/475,690.56 = 106,711.04/x
  3. Step 3: Cross multiply
    317,078.24x = 475,690.56 × 106,711.04
  4. Step 4: Simplify right side
    317,078.24x = 50,761,434,375.78
  5. Step 5: Solve for x
    x = 50,761,434,375.78/317,078.24
  6. Step 6: Final answer
    x = 160,091.20

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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.