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Finding the Fourth Proportional to 307,067.47, 460,601.21 and 119,947.75

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Solution

The fourth proportional to 307,067.47, 460,601.21 and 119,947.75 is: 179,921.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,067.47 : 460,601.21 = 119,947.75 : x
  2. Step 2: Convert to fraction form
    307,067.47/460,601.21 = 119,947.75/x
  3. Step 3: Cross multiply
    307,067.47x = 460,601.21 × 119,947.75
  4. Step 4: Simplify right side
    307,067.47x = 55,248,078,786.78
  5. Step 5: Solve for x
    x = 55,248,078,786.78/307,067.47
  6. Step 6: Final answer
    x = 179,921.63

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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.