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Finding the Fourth Proportional to 110,984.32, 166,454.76 and 92,383.84

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Solution

The fourth proportional to 110,984.32, 166,454.76 and 92,383.84 is: 138,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,984.32 : 166,454.76 = 92,383.84 : x
  2. Step 2: Convert to fraction form
    110,984.32/166,454.76 = 92,383.84/x
  3. Step 3: Cross multiply
    110,984.32x = 166,454.76 × 92,383.84
  4. Step 4: Simplify right side
    110,984.32x = 15,377,729,915.08
  5. Step 5: Solve for x
    x = 15,377,729,915.08/110,984.32
  6. Step 6: Final answer
    x = 138,557.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.