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Finding the Fourth Proportional to 141,858.26, 195,765.74 and 78,198.33

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Solution

The fourth proportional to 141,858.26, 195,765.74 and 78,198.33 is: 107,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,858.26 : 195,765.74 = 78,198.33 : x
  2. Step 2: Convert to fraction form
    141,858.26/195,765.74 = 78,198.33/x
  3. Step 3: Cross multiply
    141,858.26x = 195,765.74 × 78,198.33
  4. Step 4: Simplify right side
    141,858.26x = 15,308,553,548.22
  5. Step 5: Solve for x
    x = 15,308,553,548.22/141,858.26
  6. Step 6: Final answer
    x = 107,914.44

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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.