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Finding the Fourth Proportional to 271,805.79, 407,712.93 and 82,268.22

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Solution

The fourth proportional to 271,805.79, 407,712.93 and 82,268.22 is: 123,403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,805.79 : 407,712.93 = 82,268.22 : x
  2. Step 2: Convert to fraction form
    271,805.79/407,712.93 = 82,268.22/x
  3. Step 3: Cross multiply
    271,805.79x = 407,712.93 × 82,268.22
  4. Step 4: Simplify right side
    271,805.79x = 33,541,817,022.08
  5. Step 5: Solve for x
    x = 33,541,817,022.08/271,805.79
  6. Step 6: Final answer
    x = 123,403.61

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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.