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Finding the Fourth Proportional to 226,035, 339,044.31 and 68,259.42

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Solution

The fourth proportional to 226,035, 339,044.31 and 68,259.42 is: 102,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,035 : 339,044.31 = 68,259.42 : x
  2. Step 2: Convert to fraction form
    226,035/339,044.31 = 68,259.42/x
  3. Step 3: Cross multiply
    226,035x = 339,044.31 × 68,259.42
  4. Step 4: Simplify right side
    226,035x = 23,142,967,954.90
  5. Step 5: Solve for x
    x = 23,142,967,954.90/226,035
  6. Step 6: Final answer
    x = 102,386.66

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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.