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Finding the Fourth Proportional to 200,716.73, 276,992.90 and 110,067.30

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Solution

The fourth proportional to 200,716.73, 276,992.90 and 110,067.30 is: 151,894.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,716.73 : 276,992.90 = 110,067.30 : x
  2. Step 2: Convert to fraction form
    200,716.73/276,992.90 = 110,067.30/x
  3. Step 3: Cross multiply
    200,716.73x = 276,992.90 × 110,067.30
  4. Step 4: Simplify right side
    200,716.73x = 30,487,860,071.83
  5. Step 5: Solve for x
    x = 30,487,860,071.83/200,716.73
  6. Step 6: Final answer
    x = 151,894.96

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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.