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Finding the Fourth Proportional to 188,249.97, 259,781.73 and 103,366.43

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Solution

The fourth proportional to 188,249.97, 259,781.73 and 103,366.43 is: 142,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,249.97 : 259,781.73 = 103,366.43 : x
  2. Step 2: Convert to fraction form
    188,249.97/259,781.73 = 103,366.43/x
  3. Step 3: Cross multiply
    188,249.97x = 259,781.73 × 103,366.43
  4. Step 4: Simplify right side
    188,249.97x = 26,852,709,878.41
  5. Step 5: Solve for x
    x = 26,852,709,878.41/188,249.97
  6. Step 6: Final answer
    x = 142,643.90

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Why These Related Problems?

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