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Finding the Fourth Proportional to 197,651.26, 296,104.90 and 97,694.43

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Solution

The fourth proportional to 197,651.26, 296,104.90 and 97,694.43 is: 146,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,651.26 : 296,104.90 = 97,694.43 : x
  2. Step 2: Convert to fraction form
    197,651.26/296,104.90 = 97,694.43/x
  3. Step 3: Cross multiply
    197,651.26x = 296,104.90 × 97,694.43
  4. Step 4: Simplify right side
    197,651.26x = 28,927,799,425.71
  5. Step 5: Solve for x
    x = 28,927,799,425.71/197,651.26
  6. Step 6: Final answer
    x = 146,357.78

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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.