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Finding the Fourth Proportional to 128,201.18, 192,301.90 and 33,431.29

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Solution

The fourth proportional to 128,201.18, 192,301.90 and 33,431.29 is: 50,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,201.18 : 192,301.90 = 33,431.29 : x
  2. Step 2: Convert to fraction form
    128,201.18/192,301.90 = 33,431.29/x
  3. Step 3: Cross multiply
    128,201.18x = 192,301.90 × 33,431.29
  4. Step 4: Simplify right side
    128,201.18x = 6,428,900,022.12
  5. Step 5: Solve for x
    x = 6,428,900,022.12/128,201.18
  6. Step 6: Final answer
    x = 50,146.97

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