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Finding the Fourth Proportional to 203,419.89, 280,711.85 and 113,990.13

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Solution

The fourth proportional to 203,419.89, 280,711.85 and 113,990.13 is: 157,302.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,419.89 : 280,711.85 = 113,990.13 : x
  2. Step 2: Convert to fraction form
    203,419.89/280,711.85 = 113,990.13/x
  3. Step 3: Cross multiply
    203,419.89x = 280,711.85 × 113,990.13
  4. Step 4: Simplify right side
    203,419.89x = 31,998,379,704.09
  5. Step 5: Solve for x
    x = 31,998,379,704.09/203,419.89
  6. Step 6: Final answer
    x = 157,302.12

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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.