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Finding the Fourth Proportional to 171,475.50, 257,238.31 and 82,655.97

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Solution

The fourth proportional to 171,475.50, 257,238.31 and 82,655.97 is: 123,996.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,475.50 : 257,238.31 = 82,655.97 : x
  2. Step 2: Convert to fraction form
    171,475.50/257,238.31 = 82,655.97/x
  3. Step 3: Cross multiply
    171,475.50x = 257,238.31 × 82,655.97
  4. Step 4: Simplify right side
    171,475.50x = 21,262,282,034.21
  5. Step 5: Solve for x
    x = 21,262,282,034.21/171,475.50
  6. Step 6: Final answer
    x = 123,996.03

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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.