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Finding the Fourth Proportional to 192,638.80, 288,958.20 and 133,541.20

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Solution

The fourth proportional to 192,638.80, 288,958.20 and 133,541.20 is: 200,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,638.80 : 288,958.20 = 133,541.20 : x
  2. Step 2: Convert to fraction form
    192,638.80/288,958.20 = 133,541.20/x
  3. Step 3: Cross multiply
    192,638.80x = 288,958.20 × 133,541.20
  4. Step 4: Simplify right side
    192,638.80x = 38,587,824,777.84
  5. Step 5: Solve for x
    x = 38,587,824,777.84/192,638.80
  6. Step 6: Final answer
    x = 200,311.80

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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.