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Finding the Fourth Proportional to 196,999.27, 295,568.72 and 97,229.50

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Solution

The fourth proportional to 196,999.27, 295,568.72 and 97,229.50 is: 145,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,999.27 : 295,568.72 = 97,229.50 : x
  2. Step 2: Convert to fraction form
    196,999.27/295,568.72 = 97,229.50/x
  3. Step 3: Cross multiply
    196,999.27x = 295,568.72 × 97,229.50
  4. Step 4: Simplify right side
    196,999.27x = 28,737,998,861.24
  5. Step 5: Solve for x
    x = 28,737,998,861.24/196,999.27
  6. Step 6: Final answer
    x = 145,878.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.