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Finding the Fourth Proportional to 133,745.74, 200,644.85 and 49,506.64

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Solution

The fourth proportional to 133,745.74, 200,644.85 and 49,506.64 is: 74,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,745.74 : 200,644.85 = 49,506.64 : x
  2. Step 2: Convert to fraction form
    133,745.74/200,644.85 = 49,506.64/x
  3. Step 3: Cross multiply
    133,745.74x = 200,644.85 × 49,506.64
  4. Step 4: Simplify right side
    133,745.74x = 9,933,251,978.96
  5. Step 5: Solve for x
    x = 9,933,251,978.96/133,745.74
  6. Step 6: Final answer
    x = 74,269.67

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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.