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Finding the Fourth Proportional to 363,168, 501,171.84 and 204,192

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Solution

The fourth proportional to 363,168, 501,171.84 and 204,192 is: 281,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,168 : 501,171.84 = 204,192 : x
  2. Step 2: Convert to fraction form
    363,168/501,171.84 = 204,192/x
  3. Step 3: Cross multiply
    363,168x = 501,171.84 × 204,192
  4. Step 4: Simplify right side
    363,168x = 102,335,280,353.28
  5. Step 5: Solve for x
    x = 102,335,280,353.28/363,168
  6. Step 6: Final answer
    x = 281,784.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.