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Finding the Fourth Proportional to 120,950.36, 166,913.48 and 66,504.82

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Solution

The fourth proportional to 120,950.36, 166,913.48 and 66,504.82 is: 91,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,950.36 : 166,913.48 = 66,504.82 : x
  2. Step 2: Convert to fraction form
    120,950.36/166,913.48 = 66,504.82/x
  3. Step 3: Cross multiply
    120,950.36x = 166,913.48 × 66,504.82
  4. Step 4: Simplify right side
    120,950.36x = 11,100,550,942.97
  5. Step 5: Solve for x
    x = 11,100,550,942.97/120,950.36
  6. Step 6: Final answer
    x = 91,777.74

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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.