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Finding the Fourth Proportional to 299,166.16, 412,850.48 and 163,203

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Solution

The fourth proportional to 299,166.16, 412,850.48 and 163,203 is: 225,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,166.16 : 412,850.48 = 163,203 : x
  2. Step 2: Convert to fraction form
    299,166.16/412,850.48 = 163,203/x
  3. Step 3: Cross multiply
    299,166.16x = 412,850.48 × 163,203
  4. Step 4: Simplify right side
    299,166.16x = 67,378,436,887.44
  5. Step 5: Solve for x
    x = 67,378,436,887.44/299,166.16
  6. Step 6: Final answer
    x = 225,220.78

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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.