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Finding the Fourth Proportional to 198,741.62, 274,263.22 and 113,859.02

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Solution

The fourth proportional to 198,741.62, 274,263.22 and 113,859.02 is: 157,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,741.62 : 274,263.22 = 113,859.02 : x
  2. Step 2: Convert to fraction form
    198,741.62/274,263.22 = 113,859.02/x
  3. Step 3: Cross multiply
    198,741.62x = 274,263.22 × 113,859.02
  4. Step 4: Simplify right side
    198,741.62x = 31,227,341,451.24
  5. Step 5: Solve for x
    x = 31,227,341,451.24/198,741.62
  6. Step 6: Final answer
    x = 157,125.32

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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.