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Finding the Fourth Proportional to 271,310.10, 406,909.72 and 102,772.32

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Solution

The fourth proportional to 271,310.10, 406,909.72 and 102,772.32 is: 154,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,310.10 : 406,909.72 = 102,772.32 : x
  2. Step 2: Convert to fraction form
    271,310.10/406,909.72 = 102,772.32/x
  3. Step 3: Cross multiply
    271,310.10x = 406,909.72 × 102,772.32
  4. Step 4: Simplify right side
    271,310.10x = 41,819,055,954.95
  5. Step 5: Solve for x
    x = 41,819,055,954.95/271,310.10
  6. Step 6: Final answer
    x = 154,137.48

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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.