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Finding the Fourth Proportional to 110,234.40, 165,416.40 and 40,120.80

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Solution

The fourth proportional to 110,234.40, 165,416.40 and 40,120.80 is: 60,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,234.40 : 165,416.40 = 40,120.80 : x
  2. Step 2: Convert to fraction form
    110,234.40/165,416.40 = 40,120.80/x
  3. Step 3: Cross multiply
    110,234.40x = 165,416.40 × 40,120.80
  4. Step 4: Simplify right side
    110,234.40x = 6,636,638,301.12
  5. Step 5: Solve for x
    x = 6,636,638,301.12/110,234.40
  6. Step 6: Final answer
    x = 60,204.78

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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.