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Finding the Fourth Proportional to 271,333.38, 374,415.32 and 150,474.28

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Solution

The fourth proportional to 271,333.38, 374,415.32 and 150,474.28 is: 207,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,333.38 : 374,415.32 = 150,474.28 : x
  2. Step 2: Convert to fraction form
    271,333.38/374,415.32 = 150,474.28/x
  3. Step 3: Cross multiply
    271,333.38x = 374,415.32 × 150,474.28
  4. Step 4: Simplify right side
    271,333.38x = 56,339,875,697.97
  5. Step 5: Solve for x
    x = 56,339,875,697.97/271,333.38
  6. Step 6: Final answer
    x = 207,640.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.