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Finding the Fourth Proportional to 192,902.41, 289,353.65 and 80,521.32

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Solution

The fourth proportional to 192,902.41, 289,353.65 and 80,521.32 is: 120,781.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,902.41 : 289,353.65 = 80,521.32 : x
  2. Step 2: Convert to fraction form
    192,902.41/289,353.65 = 80,521.32/x
  3. Step 3: Cross multiply
    192,902.41x = 289,353.65 × 80,521.32
  4. Step 4: Simplify right side
    192,902.41x = 23,299,137,844.82
  5. Step 5: Solve for x
    x = 23,299,137,844.82/192,902.41
  6. Step 6: Final answer
    x = 120,781.99

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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.