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Finding the Fourth Proportional to 299,201.34, 412,936.25 and 171,901.56

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Solution

The fourth proportional to 299,201.34, 412,936.25 and 171,901.56 is: 237,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,201.34 : 412,936.25 = 171,901.56 : x
  2. Step 2: Convert to fraction form
    299,201.34/412,936.25 = 171,901.56/x
  3. Step 3: Cross multiply
    299,201.34x = 412,936.25 × 171,901.56
  4. Step 4: Simplify right side
    299,201.34x = 70,984,384,696.04
  5. Step 5: Solve for x
    x = 70,984,384,696.04/299,201.34
  6. Step 6: Final answer
    x = 237,246.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.