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Finding the Fourth Proportional to 171,046.08, 256,530.24 and 82,253.88

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Solution

The fourth proportional to 171,046.08, 256,530.24 and 82,253.88 is: 123,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,046.08 : 256,530.24 = 82,253.88 : x
  2. Step 2: Convert to fraction form
    171,046.08/256,530.24 = 82,253.88/x
  3. Step 3: Cross multiply
    171,046.08x = 256,530.24 × 82,253.88
  4. Step 4: Simplify right side
    171,046.08x = 21,100,607,577.33
  5. Step 5: Solve for x
    x = 21,100,607,577.33/171,046.08
  6. Step 6: Final answer
    x = 123,362.12

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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.