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Finding the Fourth Proportional to 133,468.24, 200,202.20 and 80,892.72

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Solution

The fourth proportional to 133,468.24, 200,202.20 and 80,892.72 is: 121,338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,468.24 : 200,202.20 = 80,892.72 : x
  2. Step 2: Convert to fraction form
    133,468.24/200,202.20 = 80,892.72/x
  3. Step 3: Cross multiply
    133,468.24x = 200,202.20 × 80,892.72
  4. Step 4: Simplify right side
    133,468.24x = 16,194,900,507.98
  5. Step 5: Solve for x
    x = 16,194,900,507.98/133,468.24
  6. Step 6: Final answer
    x = 121,338.98

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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.