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Finding the Fourth Proportional to 200,224.80, 300,337.20 and 106,912.80

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Solution

The fourth proportional to 200,224.80, 300,337.20 and 106,912.80 is: 160,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,224.80 : 300,337.20 = 106,912.80 : x
  2. Step 2: Convert to fraction form
    200,224.80/300,337.20 = 106,912.80/x
  3. Step 3: Cross multiply
    200,224.80x = 300,337.20 × 106,912.80
  4. Step 4: Simplify right side
    200,224.80x = 32,109,890,996.16
  5. Step 5: Solve for x
    x = 32,109,890,996.16/200,224.80
  6. Step 6: Final answer
    x = 160,369.20

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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.