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Finding the Fourth Proportional to 226,745.42, 340,249.54 and 114,434.42

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Solution

The fourth proportional to 226,745.42, 340,249.54 and 114,434.42 is: 171,717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,745.42 : 340,249.54 = 114,434.42 : x
  2. Step 2: Convert to fraction form
    226,745.42/340,249.54 = 114,434.42/x
  3. Step 3: Cross multiply
    226,745.42x = 340,249.54 × 114,434.42
  4. Step 4: Simplify right side
    226,745.42x = 38,936,258,765.17
  5. Step 5: Solve for x
    x = 38,936,258,765.17/226,745.42
  6. Step 6: Final answer
    x = 171,717.95

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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.