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Finding the Fourth Proportional to 200,181.82, 276,350.88 and 115,282.48

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Solution

The fourth proportional to 200,181.82, 276,350.88 and 115,282.48 is: 159,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,181.82 : 276,350.88 = 115,282.48 : x
  2. Step 2: Convert to fraction form
    200,181.82/276,350.88 = 115,282.48/x
  3. Step 3: Cross multiply
    200,181.82x = 276,350.88 × 115,282.48
  4. Step 4: Simplify right side
    200,181.82x = 31,858,414,796.58
  5. Step 5: Solve for x
    x = 31,858,414,796.58/200,181.82
  6. Step 6: Final answer
    x = 159,147.39

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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.