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Finding the Fourth Proportional to 164,647.38, 227,213.34 and 89,195.88

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Solution

The fourth proportional to 164,647.38, 227,213.34 and 89,195.88 is: 123,090.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,647.38 : 227,213.34 = 89,195.88 : x
  2. Step 2: Convert to fraction form
    164,647.38/227,213.34 = 89,195.88/x
  3. Step 3: Cross multiply
    164,647.38x = 227,213.34 × 89,195.88
  4. Step 4: Simplify right side
    164,647.38x = 20,266,493,809.04
  5. Step 5: Solve for x
    x = 20,266,493,809.04/164,647.38
  6. Step 6: Final answer
    x = 123,090.29

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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.