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Finding the Fourth Proportional to 226,348.38, 312,369.21 and 135,719.10

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Solution

The fourth proportional to 226,348.38, 312,369.21 and 135,719.10 is: 187,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,348.38 : 312,369.21 = 135,719.10 : x
  2. Step 2: Convert to fraction form
    226,348.38/312,369.21 = 135,719.10/x
  3. Step 3: Cross multiply
    226,348.38x = 312,369.21 × 135,719.10
  4. Step 4: Simplify right side
    226,348.38x = 42,394,468,048.91
  5. Step 5: Solve for x
    x = 42,394,468,048.91/226,348.38
  6. Step 6: Final answer
    x = 187,297.42

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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.