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Finding the Fourth Proportional to 100,205.37, 138,281.85 and 54,883.04

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Solution

The fourth proportional to 100,205.37, 138,281.85 and 54,883.04 is: 75,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,205.37 : 138,281.85 = 54,883.04 : x
  2. Step 2: Convert to fraction form
    100,205.37/138,281.85 = 54,883.04/x
  3. Step 3: Cross multiply
    100,205.37x = 138,281.85 × 54,883.04
  4. Step 4: Simplify right side
    100,205.37x = 7,589,327,613.41
  5. Step 5: Solve for x
    x = 7,589,327,613.41/100,205.37
  6. Step 6: Final answer
    x = 75,737.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.