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Finding the Fourth Proportional to 164,654.06, 227,221.17 and 89,202.38

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Solution

The fourth proportional to 164,654.06, 227,221.17 and 89,202.38 is: 123,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,654.06 : 227,221.17 = 89,202.38 : x
  2. Step 2: Convert to fraction form
    164,654.06/227,221.17 = 89,202.38/x
  3. Step 3: Cross multiply
    164,654.06x = 227,221.17 × 89,202.38
  4. Step 4: Simplify right side
    164,654.06x = 20,268,669,150.38
  5. Step 5: Solve for x
    x = 20,268,669,150.38/164,654.06
  6. Step 6: Final answer
    x = 123,098.51

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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.