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Finding the Fourth Proportional to 192,494.50, 288,741.75 and 80,227.60

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Solution

The fourth proportional to 192,494.50, 288,741.75 and 80,227.60 is: 120,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,494.50 : 288,741.75 = 80,227.60 : x
  2. Step 2: Convert to fraction form
    192,494.50/288,741.75 = 80,227.60/x
  3. Step 3: Cross multiply
    192,494.50x = 288,741.75 × 80,227.60
  4. Step 4: Simplify right side
    192,494.50x = 23,165,057,622.30
  5. Step 5: Solve for x
    x = 23,165,057,622.30/192,494.50
  6. Step 6: Final answer
    x = 120,341.40

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1.5x scale

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.