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Finding the Fourth Proportional to 327,991.16, 492,142.26 and 195,133.88

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Solution

The fourth proportional to 327,991.16, 492,142.26 and 195,133.88 is: 292,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,991.16 : 492,142.26 = 195,133.88 : x
  2. Step 2: Convert to fraction form
    327,991.16/492,142.26 = 195,133.88/x
  3. Step 3: Cross multiply
    327,991.16x = 492,142.26 × 195,133.88
  4. Step 4: Simplify right side
    327,991.16x = 96,033,628,705.77
  5. Step 5: Solve for x
    x = 96,033,628,705.77/327,991.16
  6. Step 6: Final answer
    x = 292,793.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.