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Finding the Fourth Proportional to 271,250.14, 406,819.59 and 102,712.34

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Solution

The fourth proportional to 271,250.14, 406,819.59 and 102,712.34 is: 154,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,250.14 : 406,819.59 = 102,712.34 : x
  2. Step 2: Convert to fraction form
    271,250.14/406,819.59 = 102,712.34/x
  3. Step 3: Cross multiply
    271,250.14x = 406,819.59 × 102,712.34
  4. Step 4: Simplify right side
    271,250.14x = 41,785,392,046.74
  5. Step 5: Solve for x
    x = 41,785,392,046.74/271,250.14
  6. Step 6: Final answer
    x = 154,047.45

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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.