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Finding the Fourth Proportional to 171,796.58, 257,694.84 and 100,827.20

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Solution

The fourth proportional to 171,796.58, 257,694.84 and 100,827.20 is: 151,240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,796.58 : 257,694.84 = 100,827.20 : x
  2. Step 2: Convert to fraction form
    171,796.58/257,694.84 = 100,827.20/x
  3. Step 3: Cross multiply
    171,796.58x = 257,694.84 × 100,827.20
  4. Step 4: Simplify right side
    171,796.58x = 25,982,649,171.65
  5. Step 5: Solve for x
    x = 25,982,649,171.65/171,796.58
  6. Step 6: Final answer
    x = 151,240.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.