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Finding the Fourth Proportional to 143,216.22, 214,824.42 and 54,449.22

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Solution

The fourth proportional to 143,216.22, 214,824.42 and 54,449.22 is: 81,673.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,216.22 : 214,824.42 = 54,449.22 : x
  2. Step 2: Convert to fraction form
    143,216.22/214,824.42 = 54,449.22/x
  3. Step 3: Cross multiply
    143,216.22x = 214,824.42 × 54,449.22
  4. Step 4: Simplify right side
    143,216.22x = 11,697,022,105.95
  5. Step 5: Solve for x
    x = 11,697,022,105.95/143,216.22
  6. Step 6: Final answer
    x = 81,673.86

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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.