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Finding the Fourth Proportional to 299,208.64, 412,893.48 and 163,234.48

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Solution

The fourth proportional to 299,208.64, 412,893.48 and 163,234.48 is: 225,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,208.64 : 412,893.48 = 163,234.48 : x
  2. Step 2: Convert to fraction form
    299,208.64/412,893.48 = 163,234.48/x
  3. Step 3: Cross multiply
    299,208.64x = 412,893.48 × 163,234.48
  4. Step 4: Simplify right side
    299,208.64x = 67,398,450,846.81
  5. Step 5: Solve for x
    x = 67,398,450,846.81/299,208.64
  6. Step 6: Final answer
    x = 225,255.70

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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.