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Finding the Fourth Proportional to 171,866.88, 257,766.90 and 86,454.96

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Solution

The fourth proportional to 171,866.88, 257,766.90 and 86,454.96 is: 129,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,866.88 : 257,766.90 = 86,454.96 : x
  2. Step 2: Convert to fraction form
    171,866.88/257,766.90 = 86,454.96/x
  3. Step 3: Cross multiply
    171,866.88x = 257,766.90 × 86,454.96
  4. Step 4: Simplify right side
    171,866.88x = 22,285,227,028.82
  5. Step 5: Solve for x
    x = 22,285,227,028.82/171,866.88
  6. Step 6: Final answer
    x = 129,665.63

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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.