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Finding the Fourth Proportional to 218,822.64, 327,300.84 and 134,375.28

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Solution

The fourth proportional to 218,822.64, 327,300.84 and 134,375.28 is: 200,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,822.64 : 327,300.84 = 134,375.28 : x
  2. Step 2: Convert to fraction form
    218,822.64/327,300.84 = 134,375.28/x
  3. Step 3: Cross multiply
    218,822.64x = 327,300.84 × 134,375.28
  4. Step 4: Simplify right side
    218,822.64x = 43,981,142,019.24
  5. Step 5: Solve for x
    x = 43,981,142,019.24/218,822.64
  6. Step 6: Final answer
    x = 200,989.91

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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.