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Finding the Fourth Proportional to 299,914.61, 413,882.10 and 163,949.12

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Solution

The fourth proportional to 299,914.61, 413,882.10 and 163,949.12 is: 226,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,914.61 : 413,882.10 = 163,949.12 : x
  2. Step 2: Convert to fraction form
    299,914.61/413,882.10 = 163,949.12/x
  3. Step 3: Cross multiply
    299,914.61x = 413,882.10 × 163,949.12
  4. Step 4: Simplify right side
    299,914.61x = 67,855,606,078.75
  5. Step 5: Solve for x
    x = 67,855,606,078.75/299,914.61
  6. Step 6: Final answer
    x = 226,249.75

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