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Finding the Fourth Proportional to 164,394.71, 226,865.03 and 91,797.24

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Solution

The fourth proportional to 164,394.71, 226,865.03 and 91,797.24 is: 126,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,394.71 : 226,865.03 = 91,797.24 : x
  2. Step 2: Convert to fraction form
    164,394.71/226,865.03 = 91,797.24/x
  3. Step 3: Cross multiply
    164,394.71x = 226,865.03 × 91,797.24
  4. Step 4: Simplify right side
    164,394.71x = 20,825,583,147.53
  5. Step 5: Solve for x
    x = 20,825,583,147.53/164,394.71
  6. Step 6: Final answer
    x = 126,680.38

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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.