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Finding the Fourth Proportional to 299,086.08, 412,724.22 and 178,224.68

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Solution

The fourth proportional to 299,086.08, 412,724.22 and 178,224.68 is: 245,941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,086.08 : 412,724.22 = 178,224.68 : x
  2. Step 2: Convert to fraction form
    299,086.08/412,724.22 = 178,224.68/x
  3. Step 3: Cross multiply
    299,086.08x = 412,724.22 × 178,224.68
  4. Step 4: Simplify right side
    299,086.08x = 73,557,639,974.13
  5. Step 5: Solve for x
    x = 73,557,639,974.13/299,086.08
  6. Step 6: Final answer
    x = 245,941.37

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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.