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Finding the Fourth Proportional to 299,367.36, 413,126.40 and 165,231.36

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Solution

The fourth proportional to 299,367.36, 413,126.40 and 165,231.36 is: 228,018.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,367.36 : 413,126.40 = 165,231.36 : x
  2. Step 2: Convert to fraction form
    299,367.36/413,126.40 = 165,231.36/x
  3. Step 3: Cross multiply
    299,367.36x = 413,126.40 × 165,231.36
  4. Step 4: Simplify right side
    299,367.36x = 68,261,436,923.90
  5. Step 5: Solve for x
    x = 68,261,436,923.90/299,367.36
  6. Step 6: Final answer
    x = 228,018.97

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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.