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Finding the Fourth Proportional to 271,272, 406,930.14 and 136,266.63

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Solution

The fourth proportional to 271,272, 406,930.14 and 136,266.63 is: 204,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,272 : 406,930.14 = 136,266.63 : x
  2. Step 2: Convert to fraction form
    271,272/406,930.14 = 136,266.63/x
  3. Step 3: Cross multiply
    271,272x = 406,930.14 × 136,266.63
  4. Step 4: Simplify right side
    271,272x = 55,450,998,823.23
  5. Step 5: Solve for x
    x = 55,450,998,823.23/271,272
  6. Step 6: Final answer
    x = 204,411.07

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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.