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Finding the Fourth Proportional to 200,168.46, 300,252.90 and 81,839.80

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Solution

The fourth proportional to 200,168.46, 300,252.90 and 81,839.80 is: 122,759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,168.46 : 300,252.90 = 81,839.80 : x
  2. Step 2: Convert to fraction form
    200,168.46/300,252.90 = 81,839.80/x
  3. Step 3: Cross multiply
    200,168.46x = 300,252.90 × 81,839.80
  4. Step 4: Simplify right side
    200,168.46x = 24,572,637,285.42
  5. Step 5: Solve for x
    x = 24,572,637,285.42/200,168.46
  6. Step 6: Final answer
    x = 122,759.79

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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.