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Finding the Fourth Proportional to 171,474, 236,634.24 and 96,024.24

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Solution

The fourth proportional to 171,474, 236,634.24 and 96,024.24 is: 132,513.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,474 : 236,634.24 = 96,024.24 : x
  2. Step 2: Convert to fraction form
    171,474/236,634.24 = 96,024.24/x
  3. Step 3: Cross multiply
    171,474x = 236,634.24 × 96,024.24
  4. Step 4: Simplify right side
    171,474x = 22,722,623,053.98
  5. Step 5: Solve for x
    x = 22,722,623,053.98/171,474
  6. Step 6: Final answer
    x = 132,513.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.