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Finding the Fourth Proportional to 200,494.32, 300,769.12 and 67,384.90

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Solution

The fourth proportional to 200,494.32, 300,769.12 and 67,384.90 is: 101,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,494.32 : 300,769.12 = 67,384.90 : x
  2. Step 2: Convert to fraction form
    200,494.32/300,769.12 = 67,384.90/x
  3. Step 3: Cross multiply
    200,494.32x = 300,769.12 × 67,384.90
  4. Step 4: Simplify right side
    200,494.32x = 20,267,297,074.29
  5. Step 5: Solve for x
    x = 20,267,297,074.29/200,494.32
  6. Step 6: Final answer
    x = 101,086.64

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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.