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Finding the Fourth Proportional to 171,625.20, 257,364.90 and 82,905.90

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Solution

The fourth proportional to 171,625.20, 257,364.90 and 82,905.90 is: 124,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,625.20 : 257,364.90 = 82,905.90 : x
  2. Step 2: Convert to fraction form
    171,625.20/257,364.90 = 82,905.90/x
  3. Step 3: Cross multiply
    171,625.20x = 257,364.90 × 82,905.90
  4. Step 4: Simplify right side
    171,625.20x = 21,337,068,662.91
  5. Step 5: Solve for x
    x = 21,337,068,662.91/171,625.20
  6. Step 6: Final answer
    x = 124,323.63

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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.