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Finding the Fourth Proportional to 307,849.51, 461,843.52 and 108,183.70

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Solution

The fourth proportional to 307,849.51, 461,843.52 and 108,183.70 is: 162,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,849.51 : 461,843.52 = 108,183.70 : x
  2. Step 2: Convert to fraction form
    307,849.51/461,843.52 = 108,183.70/x
  3. Step 3: Cross multiply
    307,849.51x = 461,843.52 × 108,183.70
  4. Step 4: Simplify right side
    307,849.51x = 49,963,940,814.62
  5. Step 5: Solve for x
    x = 49,963,940,814.62/307,849.51
  6. Step 6: Final answer
    x = 162,299.89

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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.