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Finding the Fourth Proportional to 226,331, 339,048.15 and 155,078.54

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Solution

The fourth proportional to 226,331, 339,048.15 and 155,078.54 is: 232,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,331 : 339,048.15 = 155,078.54 : x
  2. Step 2: Convert to fraction form
    226,331/339,048.15 = 155,078.54/x
  3. Step 3: Cross multiply
    226,331x = 339,048.15 × 155,078.54
  4. Step 4: Simplify right side
    226,331x = 52,579,092,091.70
  5. Step 5: Solve for x
    x = 52,579,092,091.70/226,331
  6. Step 6: Final answer
    x = 232,310.61

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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.