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Finding the Fourth Proportional to 197,609.34, 296,418.42 and 71,259.78

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Solution

The fourth proportional to 197,609.34, 296,418.42 and 71,259.78 is: 106,891.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,609.34 : 296,418.42 = 71,259.78 : x
  2. Step 2: Convert to fraction form
    197,609.34/296,418.42 = 71,259.78/x
  3. Step 3: Cross multiply
    197,609.34x = 296,418.42 × 71,259.78
  4. Step 4: Simplify right side
    197,609.34x = 21,122,711,397.15
  5. Step 5: Solve for x
    x = 21,122,711,397.15/197,609.34
  6. Step 6: Final answer
    x = 106,891.26

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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.