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Finding the Fourth Proportional to 200,158.20, 300,164.50 and 67,006.82

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Solution

The fourth proportional to 200,158.20, 300,164.50 and 67,006.82 is: 100,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,158.20 : 300,164.50 = 67,006.82 : x
  2. Step 2: Convert to fraction form
    200,158.20/300,164.50 = 67,006.82/x
  3. Step 3: Cross multiply
    200,158.20x = 300,164.50 × 67,006.82
  4. Step 4: Simplify right side
    200,158.20x = 20,113,068,621.89
  5. Step 5: Solve for x
    x = 20,113,068,621.89/200,158.20
  6. Step 6: Final answer
    x = 100,485.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.