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Finding the Fourth Proportional to 188,067.45, 282,098.19 and 75,745.02

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Solution

The fourth proportional to 188,067.45, 282,098.19 and 75,745.02 is: 113,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,067.45 : 282,098.19 = 75,745.02 : x
  2. Step 2: Convert to fraction form
    188,067.45/282,098.19 = 75,745.02/x
  3. Step 3: Cross multiply
    188,067.45x = 282,098.19 × 75,745.02
  4. Step 4: Simplify right side
    188,067.45x = 21,367,533,043.51
  5. Step 5: Solve for x
    x = 21,367,533,043.51/188,067.45
  6. Step 6: Final answer
    x = 113,616.33

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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.