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Finding the Fourth Proportional to 171,504.26, 257,344.22 and 81,648.63

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Solution

The fourth proportional to 171,504.26, 257,344.22 and 81,648.63 is: 122,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,504.26 : 257,344.22 = 81,648.63 : x
  2. Step 2: Convert to fraction form
    171,504.26/257,344.22 = 81,648.63/x
  3. Step 3: Cross multiply
    171,504.26x = 257,344.22 × 81,648.63
  4. Step 4: Simplify right side
    171,504.26x = 21,011,802,593.18
  5. Step 5: Solve for x
    x = 21,011,802,593.18/171,504.26
  6. Step 6: Final answer
    x = 122,514.76

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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.