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Finding the Fourth Proportional to 128,771.44, 193,148.70 and 44,512

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Solution

The fourth proportional to 128,771.44, 193,148.70 and 44,512 is: 66,765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,771.44 : 193,148.70 = 44,512 : x
  2. Step 2: Convert to fraction form
    128,771.44/193,148.70 = 44,512/x
  3. Step 3: Cross multiply
    128,771.44x = 193,148.70 × 44,512
  4. Step 4: Simplify right side
    128,771.44x = 8,597,434,934.40
  5. Step 5: Solve for x
    x = 8,597,434,934.40/128,771.44
  6. Step 6: Final answer
    x = 66,765.08

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