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Finding the Fourth Proportional to 271,199.44, 406,516.74 and 91,151.20

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Solution

The fourth proportional to 271,199.44, 406,516.74 and 91,151.20 is: 136,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,199.44 : 406,516.74 = 91,151.20 : x
  2. Step 2: Convert to fraction form
    271,199.44/406,516.74 = 91,151.20/x
  3. Step 3: Cross multiply
    271,199.44x = 406,516.74 × 91,151.20
  4. Step 4: Simplify right side
    271,199.44x = 37,054,488,671.09
  5. Step 5: Solve for x
    x = 37,054,488,671.09/271,199.44
  6. Step 6: Final answer
    x = 136,631.88

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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.