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Finding the Fourth Proportional to 133,474.56, 200,072.36 and 44,655

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Solution

The fourth proportional to 133,474.56, 200,072.36 and 44,655 is: 66,935.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,474.56 : 200,072.36 = 44,655 : x
  2. Step 2: Convert to fraction form
    133,474.56/200,072.36 = 44,655/x
  3. Step 3: Cross multiply
    133,474.56x = 200,072.36 × 44,655
  4. Step 4: Simplify right side
    133,474.56x = 8,934,231,235.80
  5. Step 5: Solve for x
    x = 8,934,231,235.80/133,474.56
  6. Step 6: Final answer
    x = 66,935.84

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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.