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Finding the Fourth Proportional to 317,064.10, 475,660.95 and 106,723.30

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Solution

The fourth proportional to 317,064.10, 475,660.95 and 106,723.30 is: 160,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,064.10 : 475,660.95 = 106,723.30 : x
  2. Step 2: Convert to fraction form
    317,064.10/475,660.95 = 106,723.30/x
  3. Step 3: Cross multiply
    317,064.10x = 475,660.95 × 106,723.30
  4. Step 4: Simplify right side
    317,064.10x = 50,764,106,265.14
  5. Step 5: Solve for x
    x = 50,764,106,265.14/317,064.10
  6. Step 6: Final answer
    x = 160,106.76

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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.