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Finding the Fourth Proportional to 198,912.06, 274,476.14 and 117,234.98

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Solution

The fourth proportional to 198,912.06, 274,476.14 and 117,234.98 is: 161,771.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,912.06 : 274,476.14 = 117,234.98 : x
  2. Step 2: Convert to fraction form
    198,912.06/274,476.14 = 117,234.98/x
  3. Step 3: Cross multiply
    198,912.06x = 274,476.14 × 117,234.98
  4. Step 4: Simplify right side
    198,912.06x = 32,178,204,783.38
  5. Step 5: Solve for x
    x = 32,178,204,783.38/198,912.06
  6. Step 6: Final answer
    x = 161,771.01

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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.