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Finding the Fourth Proportional to 271,902.56, 407,853.84 and 105,729.44

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Solution

The fourth proportional to 271,902.56, 407,853.84 and 105,729.44 is: 158,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,902.56 : 407,853.84 = 105,729.44 : x
  2. Step 2: Convert to fraction form
    271,902.56/407,853.84 = 105,729.44/x
  3. Step 3: Cross multiply
    271,902.56x = 407,853.84 × 105,729.44
  4. Step 4: Simplify right side
    271,902.56x = 43,122,158,105.05
  5. Step 5: Solve for x
    x = 43,122,158,105.05/271,902.56
  6. Step 6: Final answer
    x = 158,594.16

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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.