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Finding the Fourth Proportional to 196,234.88, 294,396.21 and 71,575.88

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Solution

The fourth proportional to 196,234.88, 294,396.21 and 71,575.88 is: 107,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,234.88 : 294,396.21 = 71,575.88 : x
  2. Step 2: Convert to fraction form
    196,234.88/294,396.21 = 71,575.88/x
  3. Step 3: Cross multiply
    196,234.88x = 294,396.21 × 71,575.88
  4. Step 4: Simplify right side
    196,234.88x = 21,071,666,327.43
  5. Step 5: Solve for x
    x = 21,071,666,327.43/196,234.88
  6. Step 6: Final answer
    x = 107,379.82

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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.