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Finding the Fourth Proportional to 197,805.98, 296,704.78 and 48,046.97

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Solution

The fourth proportional to 197,805.98, 296,704.78 and 48,046.97 is: 72,069.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,805.98 : 296,704.78 = 48,046.97 : x
  2. Step 2: Convert to fraction form
    197,805.98/296,704.78 = 48,046.97/x
  3. Step 3: Cross multiply
    197,805.98x = 296,704.78 × 48,046.97
  4. Step 4: Simplify right side
    197,805.98x = 14,255,765,663.52
  5. Step 5: Solve for x
    x = 14,255,765,663.52/197,805.98
  6. Step 6: Final answer
    x = 72,069.44

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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.