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Finding the Fourth Proportional to 299,133.50, 412,804.24 and 164,997.50

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Solution

The fourth proportional to 299,133.50, 412,804.24 and 164,997.50 is: 227,696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,133.50 : 412,804.24 = 164,997.50 : x
  2. Step 2: Convert to fraction form
    299,133.50/412,804.24 = 164,997.50/x
  3. Step 3: Cross multiply
    299,133.50x = 412,804.24 × 164,997.50
  4. Step 4: Simplify right side
    299,133.50x = 68,111,667,589.40
  5. Step 5: Solve for x
    x = 68,111,667,589.40/299,133.50
  6. Step 6: Final answer
    x = 227,696.56

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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.