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Finding the Fourth Proportional to 274,737.56, 412,059.08 and 82,609.07

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Solution

The fourth proportional to 274,737.56, 412,059.08 and 82,609.07 is: 123,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,737.56 : 412,059.08 = 82,609.07 : x
  2. Step 2: Convert to fraction form
    274,737.56/412,059.08 = 82,609.07/x
  3. Step 3: Cross multiply
    274,737.56x = 412,059.08 × 82,609.07
  4. Step 4: Simplify right side
    274,737.56x = 34,039,815,530.08
  5. Step 5: Solve for x
    x = 34,039,815,530.08/274,737.56
  6. Step 6: Final answer
    x = 123,899.39

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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.