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Finding the Fourth Proportional to 205,067.62, 283,015.20 and 114,455.08

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Solution

The fourth proportional to 205,067.62, 283,015.20 and 114,455.08 is: 157,960.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,067.62 : 283,015.20 = 114,455.08 : x
  2. Step 2: Convert to fraction form
    205,067.62/283,015.20 = 114,455.08/x
  3. Step 3: Cross multiply
    205,067.62x = 283,015.20 × 114,455.08
  4. Step 4: Simplify right side
    205,067.62x = 32,392,527,357.22
  5. Step 5: Solve for x
    x = 32,392,527,357.22/205,067.62
  6. Step 6: Final answer
    x = 157,960.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.