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Finding the Fourth Proportional to 263,737, 395,655.10 and 105,977.96

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Solution

The fourth proportional to 263,737, 395,655.10 and 105,977.96 is: 158,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,737 : 395,655.10 = 105,977.96 : x
  2. Step 2: Convert to fraction form
    263,737/395,655.10 = 105,977.96/x
  3. Step 3: Cross multiply
    263,737x = 395,655.10 × 105,977.96
  4. Step 4: Simplify right side
    263,737x = 41,930,720,361.60
  5. Step 5: Solve for x
    x = 41,930,720,361.60/263,737
  6. Step 6: Final answer
    x = 158,986.87

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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.