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Finding the Fourth Proportional to 198,841.68, 274,393.44 and 113,899.68

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Solution

The fourth proportional to 198,841.68, 274,393.44 and 113,899.68 is: 157,176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,841.68 : 274,393.44 = 113,899.68 : x
  2. Step 2: Convert to fraction form
    198,841.68/274,393.44 = 113,899.68/x
  3. Step 3: Cross multiply
    198,841.68x = 274,393.44 × 113,899.68
  4. Step 4: Simplify right side
    198,841.68x = 31,253,325,010.10
  5. Step 5: Solve for x
    x = 31,253,325,010.10/198,841.68
  6. Step 6: Final answer
    x = 157,176.93

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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.