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Finding the Fourth Proportional to 100,218.67, 150,327.90 and 41,054.44

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Solution

The fourth proportional to 100,218.67, 150,327.90 and 41,054.44 is: 61,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,218.67 : 150,327.90 = 41,054.44 : x
  2. Step 2: Convert to fraction form
    100,218.67/150,327.90 = 41,054.44/x
  3. Step 3: Cross multiply
    100,218.67x = 150,327.90 × 41,054.44
  4. Step 4: Simplify right side
    100,218.67x = 6,171,627,750.88
  5. Step 5: Solve for x
    x = 6,171,627,750.88/100,218.67
  6. Step 6: Final answer
    x = 61,581.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.