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Finding the Fourth Proportional to 196,234.20, 294,354 and 55,992.78

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Solution

The fourth proportional to 196,234.20, 294,354 and 55,992.78 is: 83,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,234.20 : 294,354 = 55,992.78 : x
  2. Step 2: Convert to fraction form
    196,234.20/294,354 = 55,992.78/x
  3. Step 3: Cross multiply
    196,234.20x = 294,354 × 55,992.78
  4. Step 4: Simplify right side
    196,234.20x = 16,481,698,764.12
  5. Step 5: Solve for x
    x = 16,481,698,764.12/196,234.20
  6. Step 6: Final answer
    x = 83,989.94

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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.