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Finding the Fourth Proportional to 171,794.58, 257,691.84 and 100,825.20

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Solution

The fourth proportional to 171,794.58, 257,691.84 and 100,825.20 is: 151,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,794.58 : 257,691.84 = 100,825.20 : x
  2. Step 2: Convert to fraction form
    171,794.58/257,691.84 = 100,825.20/x
  3. Step 3: Cross multiply
    171,794.58x = 257,691.84 × 100,825.20
  4. Step 4: Simplify right side
    171,794.58x = 25,981,831,306.37
  5. Step 5: Solve for x
    x = 25,981,831,306.37/171,794.58
  6. Step 6: Final answer
    x = 151,237.78

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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.