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Finding the Fourth Proportional to 203,956.40, 305,934.60 and 181,211.60

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Solution

The fourth proportional to 203,956.40, 305,934.60 and 181,211.60 is: 271,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,956.40 : 305,934.60 = 181,211.60 : x
  2. Step 2: Convert to fraction form
    203,956.40/305,934.60 = 181,211.60/x
  3. Step 3: Cross multiply
    203,956.40x = 305,934.60 × 181,211.60
  4. Step 4: Simplify right side
    203,956.40x = 55,438,898,361.36
  5. Step 5: Solve for x
    x = 55,438,898,361.36/203,956.40
  6. Step 6: Final answer
    x = 271,817.40

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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.