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Finding the Fourth Proportional to 161,205.53, 222,469.02 and 89,588.57

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Solution

The fourth proportional to 161,205.53, 222,469.02 and 89,588.57 is: 123,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,205.53 : 222,469.02 = 89,588.57 : x
  2. Step 2: Convert to fraction form
    161,205.53/222,469.02 = 89,588.57/x
  3. Step 3: Cross multiply
    161,205.53x = 222,469.02 × 89,588.57
  4. Step 4: Simplify right side
    161,205.53x = 19,930,680,258.76
  5. Step 5: Solve for x
    x = 19,930,680,258.76/161,205.53
  6. Step 6: Final answer
    x = 123,635.22

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