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Finding the Fourth Proportional to 202,058.28, 303,087.42 and 89,712.09

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Solution

The fourth proportional to 202,058.28, 303,087.42 and 89,712.09 is: 134,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,058.28 : 303,087.42 = 89,712.09 : x
  2. Step 2: Convert to fraction form
    202,058.28/303,087.42 = 89,712.09/x
  3. Step 3: Cross multiply
    202,058.28x = 303,087.42 × 89,712.09
  4. Step 4: Simplify right side
    202,058.28x = 27,190,605,900.91
  5. Step 5: Solve for x
    x = 27,190,605,900.91/202,058.28
  6. Step 6: Final answer
    x = 134,568.14

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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.