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Finding the Fourth Proportional to 227,906.10, 342,166.95 and 133,233.30

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Solution

The fourth proportional to 227,906.10, 342,166.95 and 133,233.30 is: 200,029.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,906.10 : 342,166.95 = 133,233.30 : x
  2. Step 2: Convert to fraction form
    227,906.10/342,166.95 = 133,233.30/x
  3. Step 3: Cross multiply
    227,906.10x = 342,166.95 × 133,233.30
  4. Step 4: Simplify right side
    227,906.10x = 45,588,031,899.44
  5. Step 5: Solve for x
    x = 45,588,031,899.44/227,906.10
  6. Step 6: Final answer
    x = 200,029.89

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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.