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Finding the Fourth Proportional to 180,493, 270,739.50 and 49,165

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Solution

The fourth proportional to 180,493, 270,739.50 and 49,165 is: 73,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,493 : 270,739.50 = 49,165 : x
  2. Step 2: Convert to fraction form
    180,493/270,739.50 = 49,165/x
  3. Step 3: Cross multiply
    180,493x = 270,739.50 × 49,165
  4. Step 4: Simplify right side
    180,493x = 13,310,907,517.50
  5. Step 5: Solve for x
    x = 13,310,907,517.50/180,493
  6. Step 6: Final answer
    x = 73,747.50

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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.