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Finding the Fourth Proportional to 180,494, 270,741 and 49,166

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Solution

The fourth proportional to 180,494, 270,741 and 49,166 is: 73,749

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,494 : 270,741 = 49,166 : x
  2. Step 2: Convert to fraction form
    180,494/270,741 = 49,166/x
  3. Step 3: Cross multiply
    180,494x = 270,741 × 49,166
  4. Step 4: Simplify right side
    180,494x = 13,311,252,006
  5. Step 5: Solve for x
    x = 13,311,252,006/180,494
  6. Step 6: Final answer
    x = 73,749

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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.