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Finding the Fourth Proportional to 171,907.73, 257,863.37 and 51,965.66

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Solution

The fourth proportional to 171,907.73, 257,863.37 and 51,965.66 is: 77,949.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,907.73 : 257,863.37 = 51,965.66 : x
  2. Step 2: Convert to fraction form
    171,907.73/257,863.37 = 51,965.66/x
  3. Step 3: Cross multiply
    171,907.73x = 257,863.37 × 51,965.66
  4. Step 4: Simplify right side
    171,907.73x = 13,400,040,596.70
  5. Step 5: Solve for x
    x = 13,400,040,596.70/171,907.73
  6. Step 6: Final answer
    x = 77,949.03

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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.