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Finding the Fourth Proportional to 197,747.47, 296,618.73 and 47,989

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Solution

The fourth proportional to 197,747.47, 296,618.73 and 47,989 is: 71,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,747.47 : 296,618.73 = 47,989 : x
  2. Step 2: Convert to fraction form
    197,747.47/296,618.73 = 47,989/x
  3. Step 3: Cross multiply
    197,747.47x = 296,618.73 × 47,989
  4. Step 4: Simplify right side
    197,747.47x = 14,234,436,233.97
  5. Step 5: Solve for x
    x = 14,234,436,233.97/197,747.47
  6. Step 6: Final answer
    x = 71,982.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.