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Finding the Fourth Proportional to 271,804.80, 407,711.44 and 82,267.22

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Solution

The fourth proportional to 271,804.80, 407,711.44 and 82,267.22 is: 123,402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,804.80 : 407,711.44 = 82,267.22 : x
  2. Step 2: Convert to fraction form
    271,804.80/407,711.44 = 82,267.22/x
  3. Step 3: Cross multiply
    271,804.80x = 407,711.44 × 82,267.22
  4. Step 4: Simplify right side
    271,804.80x = 33,541,286,731.00
  5. Step 5: Solve for x
    x = 33,541,286,731.00/271,804.80
  6. Step 6: Final answer
    x = 123,402.11

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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.