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Finding the Fourth Proportional to 171,664.24, 257,408.52 and 71,797.12

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Solution

The fourth proportional to 171,664.24, 257,408.52 and 71,797.12 is: 107,658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,664.24 : 257,408.52 = 71,797.12 : x
  2. Step 2: Convert to fraction form
    171,664.24/257,408.52 = 71,797.12/x
  3. Step 3: Cross multiply
    171,664.24x = 257,408.52 × 71,797.12
  4. Step 4: Simplify right side
    171,664.24x = 18,481,190,399.46
  5. Step 5: Solve for x
    x = 18,481,190,399.46/171,664.24
  6. Step 6: Final answer
    x = 107,658.94

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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.