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Finding the Fourth Proportional to 196,304.70, 270,913.98 and 109,100.31

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Solution

The fourth proportional to 196,304.70, 270,913.98 and 109,100.31 is: 150,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,304.70 : 270,913.98 = 109,100.31 : x
  2. Step 2: Convert to fraction form
    196,304.70/270,913.98 = 109,100.31/x
  3. Step 3: Cross multiply
    196,304.70x = 270,913.98 × 109,100.31
  4. Step 4: Simplify right side
    196,304.70x = 29,556,799,201.33
  5. Step 5: Solve for x
    x = 29,556,799,201.33/196,304.70
  6. Step 6: Final answer
    x = 150,565.93

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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.