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Finding the Fourth Proportional to 133,096, 199,600.96 and 44,325.76

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Solution

The fourth proportional to 133,096, 199,600.96 and 44,325.76 is: 66,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,096 : 199,600.96 = 44,325.76 : x
  2. Step 2: Convert to fraction form
    133,096/199,600.96 = 44,325.76/x
  3. Step 3: Cross multiply
    133,096x = 199,600.96 × 44,325.76
  4. Step 4: Simplify right side
    133,096x = 8,847,464,248.73
  5. Step 5: Solve for x
    x = 8,847,464,248.73/133,096
  6. Step 6: Final answer
    x = 66,474.31

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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.