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Finding the Fourth Proportional to 120,893.32, 166,784.98 and 69,896.68

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Solution

The fourth proportional to 120,893.32, 166,784.98 and 69,896.68 is: 96,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,893.32 : 166,784.98 = 69,896.68 : x
  2. Step 2: Convert to fraction form
    120,893.32/166,784.98 = 69,896.68/x
  3. Step 3: Cross multiply
    120,893.32x = 166,784.98 × 69,896.68
  4. Step 4: Simplify right side
    120,893.32x = 11,657,716,375.87
  5. Step 5: Solve for x
    x = 11,657,716,375.87/120,893.32
  6. Step 6: Final answer
    x = 96,429.78

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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.