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Finding the Fourth Proportional to 202,006.72, 278,770.32 and 117,173.92

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Solution

The fourth proportional to 202,006.72, 278,770.32 and 117,173.92 is: 161,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,006.72 : 278,770.32 = 117,173.92 : x
  2. Step 2: Convert to fraction form
    202,006.72/278,770.32 = 117,173.92/x
  3. Step 3: Cross multiply
    202,006.72x = 278,770.32 × 117,173.92
  4. Step 4: Simplify right side
    202,006.72x = 32,664,611,174.05
  5. Step 5: Solve for x
    x = 32,664,611,174.05/202,006.72
  6. Step 6: Final answer
    x = 161,700.62

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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.