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Finding the Fourth Proportional to 196,218, 270,780.84 and 106,794

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Solution

The fourth proportional to 196,218, 270,780.84 and 106,794 is: 147,375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,218 : 270,780.84 = 106,794 : x
  2. Step 2: Convert to fraction form
    196,218/270,780.84 = 106,794/x
  3. Step 3: Cross multiply
    196,218x = 270,780.84 × 106,794
  4. Step 4: Simplify right side
    196,218x = 28,917,769,026.96
  5. Step 5: Solve for x
    x = 28,917,769,026.96/196,218
  6. Step 6: Final answer
    x = 147,375.72

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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.