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Finding the Fourth Proportional to 120,892.21, 166,852.52 and 69,896.84

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Solution

The fourth proportional to 120,892.21, 166,852.52 and 69,896.84 is: 96,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,892.21 : 166,852.52 = 69,896.84 : x
  2. Step 2: Convert to fraction form
    120,892.21/166,852.52 = 69,896.84/x
  3. Step 3: Cross multiply
    120,892.21x = 166,852.52 × 69,896.84
  4. Step 4: Simplify right side
    120,892.21x = 11,662,463,894.04
  5. Step 5: Solve for x
    x = 11,662,463,894.04/120,892.21
  6. Step 6: Final answer
    x = 96,469.94

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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.