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Finding the Fourth Proportional to 307,910.80, 461,866.20 and 142,022.80

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Solution

The fourth proportional to 307,910.80, 461,866.20 and 142,022.80 is: 213,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,910.80 : 461,866.20 = 142,022.80 : x
  2. Step 2: Convert to fraction form
    307,910.80/461,866.20 = 142,022.80/x
  3. Step 3: Cross multiply
    307,910.80x = 461,866.20 × 142,022.80
  4. Step 4: Simplify right side
    307,910.80x = 65,595,530,949.36
  5. Step 5: Solve for x
    x = 65,595,530,949.36/307,910.80
  6. Step 6: Final answer
    x = 213,034.20

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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.