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Finding the Fourth Proportional to 271,901.70, 407,196.24 and 163,519.38

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Solution

The fourth proportional to 271,901.70, 407,196.24 and 163,519.38 is: 244,884.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,901.70 : 407,196.24 = 163,519.38 : x
  2. Step 2: Convert to fraction form
    271,901.70/407,196.24 = 163,519.38/x
  3. Step 3: Cross multiply
    271,901.70x = 407,196.24 × 163,519.38
  4. Step 4: Simplify right side
    271,901.70x = 66,584,476,703.13
  5. Step 5: Solve for x
    x = 66,584,476,703.13/271,901.70
  6. Step 6: Final answer
    x = 244,884.37

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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.