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Finding the Fourth Proportional to 271,232.64, 406,793.36 and 102,694.82

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Solution

The fourth proportional to 271,232.64, 406,793.36 and 102,694.82 is: 154,021.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,232.64 : 406,793.36 = 102,694.82 : x
  2. Step 2: Convert to fraction form
    271,232.64/406,793.36 = 102,694.82/x
  3. Step 3: Cross multiply
    271,232.64x = 406,793.36 × 102,694.82
  4. Step 4: Simplify right side
    271,232.64x = 41,775,568,334.95
  5. Step 5: Solve for x
    x = 41,775,568,334.95/271,232.64
  6. Step 6: Final answer
    x = 154,021.17

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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.