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Finding the Fourth Proportional to 299,236.50, 412,946.37 and 165,100.50

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Solution

The fourth proportional to 299,236.50, 412,946.37 and 165,100.50 is: 227,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,236.50 : 412,946.37 = 165,100.50 : x
  2. Step 2: Convert to fraction form
    299,236.50/412,946.37 = 165,100.50/x
  3. Step 3: Cross multiply
    299,236.50x = 412,946.37 × 165,100.50
  4. Step 4: Simplify right side
    299,236.50x = 68,177,652,160.19
  5. Step 5: Solve for x
    x = 68,177,652,160.19/299,236.50
  6. Step 6: Final answer
    x = 227,838.69

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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.