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Finding the Fourth Proportional to 271,544.16, 407,369.16 and 82,019.76

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Solution

The fourth proportional to 271,544.16, 407,369.16 and 82,019.76 is: 123,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,544.16 : 407,369.16 = 82,019.76 : x
  2. Step 2: Convert to fraction form
    271,544.16/407,369.16 = 82,019.76/x
  3. Step 3: Cross multiply
    271,544.16x = 407,369.16 × 82,019.76
  4. Step 4: Simplify right side
    271,544.16x = 33,412,320,734.60
  5. Step 5: Solve for x
    x = 33,412,320,734.60/271,544.16
  6. Step 6: Final answer
    x = 123,045.62

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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.