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Finding the Fourth Proportional to 204,494.82, 282,197.36 and 113,850.84

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Solution

The fourth proportional to 204,494.82, 282,197.36 and 113,850.84 is: 157,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,494.82 : 282,197.36 = 113,850.84 : x
  2. Step 2: Convert to fraction form
    204,494.82/282,197.36 = 113,850.84/x
  3. Step 3: Cross multiply
    204,494.82x = 282,197.36 × 113,850.84
  4. Step 4: Simplify right side
    204,494.82x = 32,128,406,481.78
  5. Step 5: Solve for x
    x = 32,128,406,481.78/204,494.82
  6. Step 6: Final answer
    x = 157,111.10

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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.