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Finding the Fourth Proportional to 120,768.86, 166,657.85 and 67,052.49

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Solution

The fourth proportional to 120,768.86, 166,657.85 and 67,052.49 is: 92,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,768.86 : 166,657.85 = 67,052.49 : x
  2. Step 2: Convert to fraction form
    120,768.86/166,657.85 = 67,052.49/x
  3. Step 3: Cross multiply
    120,768.86x = 166,657.85 × 67,052.49
  4. Step 4: Simplify right side
    120,768.86x = 11,174,823,485.28
  5. Step 5: Solve for x
    x = 11,174,823,485.28/120,768.86
  6. Step 6: Final answer
    x = 92,530.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.