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Finding the Fourth Proportional to 188,027.36, 282,067.44 and 54,917.36

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Solution

The fourth proportional to 188,027.36, 282,067.44 and 54,917.36 is: 82,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,027.36 : 282,067.44 = 54,917.36 : x
  2. Step 2: Convert to fraction form
    188,027.36/282,067.44 = 54,917.36/x
  3. Step 3: Cross multiply
    188,027.36x = 282,067.44 × 54,917.36
  4. Step 4: Simplify right side
    188,027.36x = 15,490,399,146.76
  5. Step 5: Solve for x
    x = 15,490,399,146.76/188,027.36
  6. Step 6: Final answer
    x = 82,383.75

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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.