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Finding the Fourth Proportional to 164,958.30, 227,645.10 and 89,506.80

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Solution

The fourth proportional to 164,958.30, 227,645.10 and 89,506.80 is: 123,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,958.30 : 227,645.10 = 89,506.80 : x
  2. Step 2: Convert to fraction form
    164,958.30/227,645.10 = 89,506.80/x
  3. Step 3: Cross multiply
    164,958.30x = 227,645.10 × 89,506.80
  4. Step 4: Simplify right side
    164,958.30x = 20,375,784,436.68
  5. Step 5: Solve for x
    x = 20,375,784,436.68/164,958.30
  6. Step 6: Final answer
    x = 123,520.82

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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.