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Finding the Fourth Proportional to 174,185.26, 261,092.90 and 110,806

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Solution

The fourth proportional to 174,185.26, 261,092.90 and 110,806 is: 166,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,185.26 : 261,092.90 = 110,806 : x
  2. Step 2: Convert to fraction form
    174,185.26/261,092.90 = 110,806/x
  3. Step 3: Cross multiply
    174,185.26x = 261,092.90 × 110,806
  4. Step 4: Simplify right side
    174,185.26x = 28,930,659,877.40
  5. Step 5: Solve for x
    x = 28,930,659,877.40/174,185.26
  6. Step 6: Final answer
    x = 166,091.32

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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.