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Finding the Fourth Proportional to 299,202.61, 412,843.20 and 178,355.14

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Solution

The fourth proportional to 299,202.61, 412,843.20 and 178,355.14 is: 246,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,202.61 : 412,843.20 = 178,355.14 : x
  2. Step 2: Convert to fraction form
    299,202.61/412,843.20 = 178,355.14/x
  3. Step 3: Cross multiply
    299,202.61x = 412,843.20 × 178,355.14
  4. Step 4: Simplify right side
    299,202.61x = 73,632,706,734.05
  5. Step 5: Solve for x
    x = 73,632,706,734.05/299,202.61
  6. Step 6: Final answer
    x = 246,096.47

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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.