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Finding the Fourth Proportional to 200,416.30, 300,652.14 and 67,334.62

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Solution

The fourth proportional to 200,416.30, 300,652.14 and 67,334.62 is: 101,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,416.30 : 300,652.14 = 67,334.62 : x
  2. Step 2: Convert to fraction form
    200,416.30/300,652.14 = 67,334.62/x
  3. Step 3: Cross multiply
    200,416.30x = 300,652.14 × 67,334.62
  4. Step 4: Simplify right side
    200,416.30x = 20,244,297,599.09
  5. Step 5: Solve for x
    x = 20,244,297,599.09/200,416.30
  6. Step 6: Final answer
    x = 101,011.23

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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.