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Finding the Fourth Proportional to 164,757.24, 227,358.90 and 89,304.12

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Solution

The fourth proportional to 164,757.24, 227,358.90 and 89,304.12 is: 123,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,757.24 : 227,358.90 = 89,304.12 : x
  2. Step 2: Convert to fraction form
    164,757.24/227,358.90 = 89,304.12/x
  3. Step 3: Cross multiply
    164,757.24x = 227,358.90 × 89,304.12
  4. Step 4: Simplify right side
    164,757.24x = 20,304,086,488.67
  5. Step 5: Solve for x
    x = 20,304,086,488.67/164,757.24
  6. Step 6: Final answer
    x = 123,236.38

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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.