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Finding the Fourth Proportional to 164,832.91, 227,469.41 and 89,381.41

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Solution

The fourth proportional to 164,832.91, 227,469.41 and 89,381.41 is: 123,346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,832.91 : 227,469.41 = 89,381.41 : x
  2. Step 2: Convert to fraction form
    164,832.91/227,469.41 = 89,381.41/x
  3. Step 3: Cross multiply
    164,832.91x = 227,469.41 × 89,381.41
  4. Step 4: Simplify right side
    164,832.91x = 20,331,536,597.67
  5. Step 5: Solve for x
    x = 20,331,536,597.67/164,832.91
  6. Step 6: Final answer
    x = 123,346.34

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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.