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Finding the Fourth Proportional to 165,142.38, 227,896.28 and 89,690.34

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Solution

The fourth proportional to 165,142.38, 227,896.28 and 89,690.34 is: 123,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,142.38 : 227,896.28 = 89,690.34 : x
  2. Step 2: Convert to fraction form
    165,142.38/227,896.28 = 89,690.34/x
  3. Step 3: Cross multiply
    165,142.38x = 227,896.28 × 89,690.34
  4. Step 4: Simplify right side
    165,142.38x = 20,440,094,837.94
  5. Step 5: Solve for x
    x = 20,440,094,837.94/165,142.38
  6. Step 6: Final answer
    x = 123,772.56

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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.