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Finding the Fourth Proportional to 192,454.92, 288,648.36 and 52,224.48

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Solution

The fourth proportional to 192,454.92, 288,648.36 and 52,224.48 is: 78,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,454.92 : 288,648.36 = 52,224.48 : x
  2. Step 2: Convert to fraction form
    192,454.92/288,648.36 = 52,224.48/x
  3. Step 3: Cross multiply
    192,454.92x = 288,648.36 × 52,224.48
  4. Step 4: Simplify right side
    192,454.92x = 15,074,510,503.85
  5. Step 5: Solve for x
    x = 15,074,510,503.85/192,454.92
  6. Step 6: Final answer
    x = 78,327.49

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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.