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Finding the Fourth Proportional to 307,165.38, 423,912.87 and 171,243.33

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Solution

The fourth proportional to 307,165.38, 423,912.87 and 171,243.33 is: 236,329.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,165.38 : 423,912.87 = 171,243.33 : x
  2. Step 2: Convert to fraction form
    307,165.38/423,912.87 = 171,243.33/x
  3. Step 3: Cross multiply
    307,165.38x = 423,912.87 × 171,243.33
  4. Step 4: Simplify right side
    307,165.38x = 72,592,251,488.66
  5. Step 5: Solve for x
    x = 72,592,251,488.66/307,165.38
  6. Step 6: Final answer
    x = 236,329.54

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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.