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Finding the Fourth Proportional to 299,104, 412,772.16 and 164,976.64

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Solution

The fourth proportional to 299,104, 412,772.16 and 164,976.64 is: 227,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,104 : 412,772.16 = 164,976.64 : x
  2. Step 2: Convert to fraction form
    299,104/412,772.16 = 164,976.64/x
  3. Step 3: Cross multiply
    299,104x = 412,772.16 × 164,976.64
  4. Step 4: Simplify right side
    299,104x = 68,097,764,042.34
  5. Step 5: Solve for x
    x = 68,097,764,042.34/299,104
  6. Step 6: Final answer
    x = 227,672.53

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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.