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Finding the Fourth Proportional to 199,791.24, 299,698.41 and 75,133.32

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Solution

The fourth proportional to 199,791.24, 299,698.41 and 75,133.32 is: 112,704.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,791.24 : 299,698.41 = 75,133.32 : x
  2. Step 2: Convert to fraction form
    199,791.24/299,698.41 = 75,133.32/x
  3. Step 3: Cross multiply
    199,791.24x = 299,698.41 × 75,133.32
  4. Step 4: Simplify right side
    199,791.24x = 22,517,336,542.02
  5. Step 5: Solve for x
    x = 22,517,336,542.02/199,791.24
  6. Step 6: Final answer
    x = 112,704.32

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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.