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Finding the Fourth Proportional to 120,563.56, 166,373.22 and 66,849.16

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Solution

The fourth proportional to 120,563.56, 166,373.22 and 66,849.16 is: 92,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,563.56 : 166,373.22 = 66,849.16 : x
  2. Step 2: Convert to fraction form
    120,563.56/166,373.22 = 66,849.16/x
  3. Step 3: Cross multiply
    120,563.56x = 166,373.22 × 66,849.16
  4. Step 4: Simplify right side
    120,563.56x = 11,121,910,003.50
  5. Step 5: Solve for x
    x = 11,121,910,003.50/120,563.56
  6. Step 6: Final answer
    x = 92,249.35

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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.