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Finding the Fourth Proportional to 161,024.82, 222,221.19 and 89,404.84

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Solution

The fourth proportional to 161,024.82, 222,221.19 and 89,404.84 is: 123,382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,024.82 : 222,221.19 = 89,404.84 : x
  2. Step 2: Convert to fraction form
    161,024.82/222,221.19 = 89,404.84/x
  3. Step 3: Cross multiply
    161,024.82x = 222,221.19 × 89,404.84
  4. Step 4: Simplify right side
    161,024.82x = 19,867,649,936.56
  5. Step 5: Solve for x
    x = 19,867,649,936.56/161,024.82
  6. Step 6: Final answer
    x = 123,382.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.