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Finding the Fourth Proportional to 110,197.26, 165,196.80 and 40,027.50

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Solution

The fourth proportional to 110,197.26, 165,196.80 and 40,027.50 is: 60,005.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,197.26 : 165,196.80 = 40,027.50 : x
  2. Step 2: Convert to fraction form
    110,197.26/165,196.80 = 40,027.50/x
  3. Step 3: Cross multiply
    110,197.26x = 165,196.80 × 40,027.50
  4. Step 4: Simplify right side
    110,197.26x = 6,612,414,912
  5. Step 5: Solve for x
    x = 6,612,414,912/110,197.26
  6. Step 6: Final answer
    x = 60,005.26

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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.