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Finding the Fourth Proportional to 307,836.65, 461,801.15 and 108,121.84

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Solution

The fourth proportional to 307,836.65, 461,801.15 and 108,121.84 is: 162,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,836.65 : 461,801.15 = 108,121.84 : x
  2. Step 2: Convert to fraction form
    307,836.65/461,801.15 = 108,121.84/x
  3. Step 3: Cross multiply
    307,836.65x = 461,801.15 × 108,121.84
  4. Step 4: Simplify right side
    307,836.65x = 49,930,787,202.50
  5. Step 5: Solve for x
    x = 49,930,787,202.50/307,836.65
  6. Step 6: Final answer
    x = 162,198.97

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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.