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Finding the Fourth Proportional to 263,212.32, 394,871.73 and 85,671.66

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Solution

The fourth proportional to 263,212.32, 394,871.73 and 85,671.66 is: 128,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,212.32 : 394,871.73 = 85,671.66 : x
  2. Step 2: Convert to fraction form
    263,212.32/394,871.73 = 85,671.66/x
  3. Step 3: Cross multiply
    263,212.32x = 394,871.73 × 85,671.66
  4. Step 4: Simplify right side
    263,212.32x = 33,829,316,596.17
  5. Step 5: Solve for x
    x = 33,829,316,596.17/263,212.32
  6. Step 6: Final answer
    x = 128,524.82

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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.