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Finding the Fourth Proportional to 226,876, 340,524.42 and 114,635.05

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Solution

The fourth proportional to 226,876, 340,524.42 and 114,635.05 is: 172,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,876 : 340,524.42 = 114,635.05 : x
  2. Step 2: Convert to fraction form
    226,876/340,524.42 = 114,635.05/x
  3. Step 3: Cross multiply
    226,876x = 340,524.42 × 114,635.05
  4. Step 4: Simplify right side
    226,876x = 39,036,032,210.30
  5. Step 5: Solve for x
    x = 39,036,032,210.30/226,876
  6. Step 6: Final answer
    x = 172,058.89

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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.