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Finding the Fourth Proportional to 226,426.38, 312,388.75 and 135,811.68

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Solution

The fourth proportional to 226,426.38, 312,388.75 and 135,811.68 is: 187,372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,426.38 : 312,388.75 = 135,811.68 : x
  2. Step 2: Convert to fraction form
    226,426.38/312,388.75 = 135,811.68/x
  3. Step 3: Cross multiply
    226,426.38x = 312,388.75 × 135,811.68
  4. Step 4: Simplify right side
    226,426.38x = 42,426,040,950.60
  5. Step 5: Solve for x
    x = 42,426,040,950.60/226,426.38
  6. Step 6: Final answer
    x = 187,372.34

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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.