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Finding the Fourth Proportional to 120,820, 166,733.85 and 67,109.98

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Solution

The fourth proportional to 120,820, 166,733.85 and 67,109.98 is: 92,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,820 : 166,733.85 = 67,109.98 : x
  2. Step 2: Convert to fraction form
    120,820/166,733.85 = 67,109.98/x
  3. Step 3: Cross multiply
    120,820x = 166,733.85 × 67,109.98
  4. Step 4: Simplify right side
    120,820x = 11,189,505,338.82
  5. Step 5: Solve for x
    x = 11,189,505,338.82/120,820
  6. Step 6: Final answer
    x = 92,613.02

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