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Finding the Fourth Proportional to 171,475.96, 257,379.60 and 82,791.76

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Solution

The fourth proportional to 171,475.96, 257,379.60 and 82,791.76 is: 124,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,475.96 : 257,379.60 = 82,791.76 : x
  2. Step 2: Convert to fraction form
    171,475.96/257,379.60 = 82,791.76/x
  3. Step 3: Cross multiply
    171,475.96x = 257,379.60 × 82,791.76
  4. Step 4: Simplify right side
    171,475.96x = 21,308,910,072.10
  5. Step 5: Solve for x
    x = 21,308,910,072.10/171,475.96
  6. Step 6: Final answer
    x = 124,267.62

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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.