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Finding the Fourth Proportional to 271,807.68, 407,550.54 and 82,210.59

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Solution

The fourth proportional to 271,807.68, 407,550.54 and 82,210.59 is: 123,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,807.68 : 407,550.54 = 82,210.59 : x
  2. Step 2: Convert to fraction form
    271,807.68/407,550.54 = 82,210.59/x
  3. Step 3: Cross multiply
    271,807.68x = 407,550.54 × 82,210.59
  4. Step 4: Simplify right side
    271,807.68x = 33,504,970,348.22
  5. Step 5: Solve for x
    x = 33,504,970,348.22/271,807.68
  6. Step 6: Final answer
    x = 123,267.20

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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.