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Finding the Fourth Proportional to 271,500.38, 407,251.94 and 111,663.49

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Solution

The fourth proportional to 271,500.38, 407,251.94 and 111,663.49 is: 167,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,500.38 : 407,251.94 = 111,663.49 : x
  2. Step 2: Convert to fraction form
    271,500.38/407,251.94 = 111,663.49/x
  3. Step 3: Cross multiply
    271,500.38x = 407,251.94 × 111,663.49
  4. Step 4: Simplify right side
    271,500.38x = 45,475,171,442.51
  5. Step 5: Solve for x
    x = 45,475,171,442.51/271,500.38
  6. Step 6: Final answer
    x = 167,495.79

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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.