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Finding the Fourth Proportional to 196,304.78, 270,893.44 and 119,951.65

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Solution

The fourth proportional to 196,304.78, 270,893.44 and 119,951.65 is: 165,528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,304.78 : 270,893.44 = 119,951.65 : x
  2. Step 2: Convert to fraction form
    196,304.78/270,893.44 = 119,951.65/x
  3. Step 3: Cross multiply
    196,304.78x = 270,893.44 × 119,951.65
  4. Step 4: Simplify right side
    196,304.78x = 32,494,115,824.78
  5. Step 5: Solve for x
    x = 32,494,115,824.78/196,304.78
  6. Step 6: Final answer
    x = 165,528.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.