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Finding the Fourth Proportional to 299,895.78, 413,867.31 and 163,938.96

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Solution

The fourth proportional to 299,895.78, 413,867.31 and 163,938.96 is: 226,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,895.78 : 413,867.31 = 163,938.96 : x
  2. Step 2: Convert to fraction form
    299,895.78/413,867.31 = 163,938.96/x
  3. Step 3: Cross multiply
    299,895.78x = 413,867.31 × 163,938.96
  4. Step 4: Simplify right side
    299,895.78x = 67,848,976,379.40
  5. Step 5: Solve for x
    x = 67,848,976,379.40/299,895.78
  6. Step 6: Final answer
    x = 226,241.85

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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.