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Finding the Fourth Proportional to 171,116.22, 256,739.94 and 71,249.59

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Solution

The fourth proportional to 171,116.22, 256,739.94 and 71,249.59 is: 106,901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,116.22 : 256,739.94 = 71,249.59 : x
  2. Step 2: Convert to fraction form
    171,116.22/256,739.94 = 71,249.59/x
  3. Step 3: Cross multiply
    171,116.22x = 256,739.94 × 71,249.59
  4. Step 4: Simplify right side
    171,116.22x = 18,292,615,461.62
  5. Step 5: Solve for x
    x = 18,292,615,461.62/171,116.22
  6. Step 6: Final answer
    x = 106,901.70

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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.