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Finding the Fourth Proportional to 200,462.64, 300,728.70 and 67,355.88

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Solution

The fourth proportional to 200,462.64, 300,728.70 and 67,355.88 is: 101,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,462.64 : 300,728.70 = 67,355.88 : x
  2. Step 2: Convert to fraction form
    200,462.64/300,728.70 = 67,355.88/x
  3. Step 3: Cross multiply
    200,462.64x = 300,728.70 × 67,355.88
  4. Step 4: Simplify right side
    200,462.64x = 20,255,846,229.76
  5. Step 5: Solve for x
    x = 20,255,846,229.76/200,462.64
  6. Step 6: Final answer
    x = 101,045.49

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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.