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Finding the Fourth Proportional to 164,589.24, 227,132.94 and 89,138.04

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Solution

The fourth proportional to 164,589.24, 227,132.94 and 89,138.04 is: 123,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,589.24 : 227,132.94 = 89,138.04 : x
  2. Step 2: Convert to fraction form
    164,589.24/227,132.94 = 89,138.04/x
  3. Step 3: Cross multiply
    164,589.24x = 227,132.94 × 89,138.04
  4. Step 4: Simplify right side
    164,589.24x = 20,246,185,091.04
  5. Step 5: Solve for x
    x = 20,246,185,091.04/164,589.24
  6. Step 6: Final answer
    x = 123,010.38

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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.