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Finding the Fourth Proportional to 198,817.98, 274,376.38 and 113,951.46

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Solution

The fourth proportional to 198,817.98, 274,376.38 and 113,951.46 is: 157,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,817.98 : 274,376.38 = 113,951.46 : x
  2. Step 2: Convert to fraction form
    198,817.98/274,376.38 = 113,951.46/x
  3. Step 3: Cross multiply
    198,817.98x = 274,376.38 × 113,951.46
  4. Step 4: Simplify right side
    198,817.98x = 31,265,589,090.51
  5. Step 5: Solve for x
    x = 31,265,589,090.51/198,817.98
  6. Step 6: Final answer
    x = 157,257.35

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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.