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Finding the Fourth Proportional to 143,092.14, 197,467.92 and 89,408.28

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Solution

The fourth proportional to 143,092.14, 197,467.92 and 89,408.28 is: 123,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,092.14 : 197,467.92 = 89,408.28 : x
  2. Step 2: Convert to fraction form
    143,092.14/197,467.92 = 89,408.28/x
  3. Step 3: Cross multiply
    143,092.14x = 197,467.92 × 89,408.28
  4. Step 4: Simplify right side
    143,092.14x = 17,655,267,082.38
  5. Step 5: Solve for x
    x = 17,655,267,082.38/143,092.14
  6. Step 6: Final answer
    x = 123,383.91

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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.