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Finding the Fourth Proportional to 171,080.43, 256,664.37 and 71,207.43

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Solution

The fourth proportional to 171,080.43, 256,664.37 and 71,207.43 is: 106,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,080.43 : 256,664.37 = 71,207.43 : x
  2. Step 2: Convert to fraction form
    171,080.43/256,664.37 = 71,207.43/x
  3. Step 3: Cross multiply
    171,080.43x = 256,664.37 × 71,207.43
  4. Step 4: Simplify right side
    171,080.43x = 18,276,410,160.27
  5. Step 5: Solve for x
    x = 18,276,410,160.27/171,080.43
  6. Step 6: Final answer
    x = 106,829.34

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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.