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Finding the Fourth Proportional to 193,665.86, 267,249.20 and 117,201.86

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Solution

The fourth proportional to 193,665.86, 267,249.20 and 117,201.86 is: 161,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,665.86 : 267,249.20 = 117,201.86 : x
  2. Step 2: Convert to fraction form
    193,665.86/267,249.20 = 117,201.86/x
  3. Step 3: Cross multiply
    193,665.86x = 267,249.20 × 117,201.86
  4. Step 4: Simplify right side
    193,665.86x = 31,322,103,323.51
  5. Step 5: Solve for x
    x = 31,322,103,323.51/193,665.86
  6. Step 6: Final answer
    x = 161,732.70

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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.