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Finding the Fourth Proportional to 299,190.25, 412,873.07 and 170,142.74

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Solution

The fourth proportional to 299,190.25, 412,873.07 and 170,142.74 is: 234,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,190.25 : 412,873.07 = 170,142.74 : x
  2. Step 2: Convert to fraction form
    299,190.25/412,873.07 = 170,142.74/x
  3. Step 3: Cross multiply
    299,190.25x = 412,873.07 × 170,142.74
  4. Step 4: Simplify right side
    299,190.25x = 70,247,356,859.55
  5. Step 5: Solve for x
    x = 70,247,356,859.55/299,190.25
  6. Step 6: Final answer
    x = 234,791.60

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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.