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Finding the Fourth Proportional to 171,024.52, 256,592.14 and 82,266.48

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Solution

The fourth proportional to 171,024.52, 256,592.14 and 82,266.48 is: 123,426.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,024.52 : 256,592.14 = 82,266.48 : x
  2. Step 2: Convert to fraction form
    171,024.52/256,592.14 = 82,266.48/x
  3. Step 3: Cross multiply
    171,024.52x = 256,592.14 × 82,266.48
  4. Step 4: Simplify right side
    171,024.52x = 21,108,932,153.47
  5. Step 5: Solve for x
    x = 21,108,932,153.47/171,024.52
  6. Step 6: Final answer
    x = 123,426.35

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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.