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Finding the Fourth Proportional to 196,653.20, 294,922.20 and 91,446.80

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Solution

The fourth proportional to 196,653.20, 294,922.20 and 91,446.80 is: 137,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,653.20 : 294,922.20 = 91,446.80 : x
  2. Step 2: Convert to fraction form
    196,653.20/294,922.20 = 91,446.80/x
  3. Step 3: Cross multiply
    196,653.20x = 294,922.20 × 91,446.80
  4. Step 4: Simplify right side
    196,653.20x = 26,969,691,438.96
  5. Step 5: Solve for x
    x = 26,969,691,438.96/196,653.20
  6. Step 6: Final answer
    x = 137,143.42

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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.