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Finding the Fourth Proportional to 180,496, 270,744 and 49,168

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Solution

The fourth proportional to 180,496, 270,744 and 49,168 is: 73,752

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,496 : 270,744 = 49,168 : x
  2. Step 2: Convert to fraction form
    180,496/270,744 = 49,168/x
  3. Step 3: Cross multiply
    180,496x = 270,744 × 49,168
  4. Step 4: Simplify right side
    180,496x = 13,311,940,992
  5. Step 5: Solve for x
    x = 13,311,940,992/180,496
  6. Step 6: Final answer
    x = 73,752

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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.