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Finding the Fourth Proportional to 133,679.31, 200,541.27 and 49,439.67

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Solution

The fourth proportional to 133,679.31, 200,541.27 and 49,439.67 is: 74,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,679.31 : 200,541.27 = 49,439.67 : x
  2. Step 2: Convert to fraction form
    133,679.31/200,541.27 = 49,439.67/x
  3. Step 3: Cross multiply
    133,679.31x = 200,541.27 × 49,439.67
  4. Step 4: Simplify right side
    133,679.31x = 9,914,693,365.45
  5. Step 5: Solve for x
    x = 9,914,693,365.45/133,679.31
  6. Step 6: Final answer
    x = 74,167.75

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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.