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Finding the Fourth Proportional to 164,525.97, 227,046.80 and 89,074.47

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Solution

The fourth proportional to 164,525.97, 227,046.80 and 89,074.47 is: 122,923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,525.97 : 227,046.80 = 89,074.47 : x
  2. Step 2: Convert to fraction form
    164,525.97/227,046.80 = 89,074.47/x
  3. Step 3: Cross multiply
    164,525.97x = 227,046.80 × 89,074.47
  4. Step 4: Simplify right side
    164,525.97x = 20,224,073,375.20
  5. Step 5: Solve for x
    x = 20,224,073,375.20/164,525.97
  6. Step 6: Final answer
    x = 122,923.29

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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.