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Finding the Fourth Proportional to 188,857.50, 283,286.43 and 78,052.38

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Solution

The fourth proportional to 188,857.50, 283,286.43 and 78,052.38 is: 117,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,857.50 : 283,286.43 = 78,052.38 : x
  2. Step 2: Convert to fraction form
    188,857.50/283,286.43 = 78,052.38/x
  3. Step 3: Cross multiply
    188,857.50x = 283,286.43 × 78,052.38
  4. Step 4: Simplify right side
    188,857.50x = 22,111,180,083.20
  5. Step 5: Solve for x
    x = 22,111,180,083.20/188,857.50
  6. Step 6: Final answer
    x = 117,078.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.