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Finding the Fourth Proportional to 188,083.50, 282,102.57 and 47,843.34

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Solution

The fourth proportional to 188,083.50, 282,102.57 and 47,843.34 is: 71,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,083.50 : 282,102.57 = 47,843.34 : x
  2. Step 2: Convert to fraction form
    188,083.50/282,102.57 = 47,843.34/x
  3. Step 3: Cross multiply
    188,083.50x = 282,102.57 × 47,843.34
  4. Step 4: Simplify right side
    188,083.50x = 13,496,729,171.38
  5. Step 5: Solve for x
    x = 13,496,729,171.38/188,083.50
  6. Step 6: Final answer
    x = 71,759.24

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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.