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Finding the Fourth Proportional to 171,472.91, 257,234.42 and 82,653.37

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Solution

The fourth proportional to 171,472.91, 257,234.42 and 82,653.37 is: 123,992.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,472.91 : 257,234.42 = 82,653.37 : x
  2. Step 2: Convert to fraction form
    171,472.91/257,234.42 = 82,653.37/x
  3. Step 3: Cross multiply
    171,472.91x = 257,234.42 × 82,653.37
  4. Step 4: Simplify right side
    171,472.91x = 21,261,290,636.64
  5. Step 5: Solve for x
    x = 21,261,290,636.64/171,472.91
  6. Step 6: Final answer
    x = 123,992.13

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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.