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Finding the Fourth Proportional to 226,253.40, 339,369.17 and 84,098.40

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Solution

The fourth proportional to 226,253.40, 339,369.17 and 84,098.40 is: 126,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,253.40 : 339,369.17 = 84,098.40 : x
  2. Step 2: Convert to fraction form
    226,253.40/339,369.17 = 84,098.40/x
  3. Step 3: Cross multiply
    226,253.40x = 339,369.17 × 84,098.40
  4. Step 4: Simplify right side
    226,253.40x = 28,540,403,785.84
  5. Step 5: Solve for x
    x = 28,540,403,785.84/226,253.40
  6. Step 6: Final answer
    x = 126,143.54

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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.