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Finding the Fourth Proportional to 164,971.38, 227,661.11 and 89,519.88

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Solution

The fourth proportional to 164,971.38, 227,661.11 and 89,519.88 is: 123,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,971.38 : 227,661.11 = 89,519.88 : x
  2. Step 2: Convert to fraction form
    164,971.38/227,661.11 = 89,519.88/x
  3. Step 3: Cross multiply
    164,971.38x = 227,661.11 × 89,519.88
  4. Step 4: Simplify right side
    164,971.38x = 20,380,195,247.87
  5. Step 5: Solve for x
    x = 20,380,195,247.87/164,971.38
  6. Step 6: Final answer
    x = 123,537.76

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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.