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Finding the Fourth Proportional to 274,414.10, 411,384.57 and 106,052.57

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Solution

The fourth proportional to 274,414.10, 411,384.57 and 106,052.57 is: 158,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,414.10 : 411,384.57 = 106,052.57 : x
  2. Step 2: Convert to fraction form
    274,414.10/411,384.57 = 106,052.57/x
  3. Step 3: Cross multiply
    274,414.10x = 411,384.57 × 106,052.57
  4. Step 4: Simplify right side
    274,414.10x = 43,628,388,849.92
  5. Step 5: Solve for x
    x = 43,628,388,849.92/274,414.10
  6. Step 6: Final answer
    x = 158,987.42

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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.