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Finding the Fourth Proportional to 317,064.60, 475,661.70 and 106,723.80

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Solution

The fourth proportional to 317,064.60, 475,661.70 and 106,723.80 is: 160,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,064.60 : 475,661.70 = 106,723.80 : x
  2. Step 2: Convert to fraction form
    317,064.60/475,661.70 = 106,723.80/x
  3. Step 3: Cross multiply
    317,064.60x = 475,661.70 × 106,723.80
  4. Step 4: Simplify right side
    317,064.60x = 50,764,424,138.46
  5. Step 5: Solve for x
    x = 50,764,424,138.46/317,064.60
  6. Step 6: Final answer
    x = 160,107.51

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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.