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Finding the Fourth Proportional to 271,356.16, 407,053.68 and 71,674.56

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Solution

The fourth proportional to 271,356.16, 407,053.68 and 71,674.56 is: 107,516.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,356.16 : 407,053.68 = 71,674.56 : x
  2. Step 2: Convert to fraction form
    271,356.16/407,053.68 = 71,674.56/x
  3. Step 3: Cross multiply
    271,356.16x = 407,053.68 × 71,674.56
  4. Step 4: Simplify right side
    271,356.16x = 29,175,393,410.38
  5. Step 5: Solve for x
    x = 29,175,393,410.38/271,356.16
  6. Step 6: Final answer
    x = 107,516.97

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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.