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Finding the Fourth Proportional to 161,013.97, 222,190.61 and 89,389.38

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Solution

The fourth proportional to 161,013.97, 222,190.61 and 89,389.38 is: 123,352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,013.97 : 222,190.61 = 89,389.38 : x
  2. Step 2: Convert to fraction form
    161,013.97/222,190.61 = 89,389.38/x
  3. Step 3: Cross multiply
    161,013.97x = 222,190.61 × 89,389.38
  4. Step 4: Simplify right side
    161,013.97x = 19,861,480,869.72
  5. Step 5: Solve for x
    x = 19,861,480,869.72/161,013.97
  6. Step 6: Final answer
    x = 123,352.53

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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.