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Finding the Fourth Proportional to 171,118.22, 256,742.94 and 71,251.59

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Solution

The fourth proportional to 171,118.22, 256,742.94 and 71,251.59 is: 106,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,118.22 : 256,742.94 = 71,251.59 : x
  2. Step 2: Convert to fraction form
    171,118.22/256,742.94 = 71,251.59/x
  3. Step 3: Cross multiply
    171,118.22x = 256,742.94 × 71,251.59
  4. Step 4: Simplify right side
    171,118.22x = 18,293,342,696.27
  5. Step 5: Solve for x
    x = 18,293,342,696.27/171,118.22
  6. Step 6: Final answer
    x = 106,904.71

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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.