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Finding the Fourth Proportional to 198,771.34, 274,299.54 and 113,882.94

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Solution

The fourth proportional to 198,771.34, 274,299.54 and 113,882.94 is: 157,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,771.34 : 274,299.54 = 113,882.94 : x
  2. Step 2: Convert to fraction form
    198,771.34/274,299.54 = 113,882.94/x
  3. Step 3: Cross multiply
    198,771.34x = 274,299.54 × 113,882.94
  4. Step 4: Simplify right side
    198,771.34x = 31,238,038,055.85
  5. Step 5: Solve for x
    x = 31,238,038,055.85/198,771.34
  6. Step 6: Final answer
    x = 157,155.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.