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Finding the Fourth Proportional to 303,772.76, 419,209.92 and 167,803.90

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Solution

The fourth proportional to 303,772.76, 419,209.92 and 167,803.90 is: 231,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,772.76 : 419,209.92 = 167,803.90 : x
  2. Step 2: Convert to fraction form
    303,772.76/419,209.92 = 167,803.90/x
  3. Step 3: Cross multiply
    303,772.76x = 419,209.92 × 167,803.90
  4. Step 4: Simplify right side
    303,772.76x = 70,345,058,446.66
  5. Step 5: Solve for x
    x = 70,345,058,446.66/303,772.76
  6. Step 6: Final answer
    x = 231,571.32

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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.