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Finding the Fourth Proportional to 271,581.20, 407,369.78 and 82,041.20

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Solution

The fourth proportional to 271,581.20, 407,369.78 and 82,041.20 is: 123,061.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,581.20 : 407,369.78 = 82,041.20 : x
  2. Step 2: Convert to fraction form
    271,581.20/407,369.78 = 82,041.20/x
  3. Step 3: Cross multiply
    271,581.20x = 407,369.78 × 82,041.20
  4. Step 4: Simplify right side
    271,581.20x = 33,421,105,184.73
  5. Step 5: Solve for x
    x = 33,421,105,184.73/271,581.20
  6. Step 6: Final answer
    x = 123,061.19

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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.