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Finding the Fourth Proportional to 103,165.89, 154,724.21 and 53,220.27

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Solution

The fourth proportional to 103,165.89, 154,724.21 and 53,220.27 is: 79,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,165.89 : 154,724.21 = 53,220.27 : x
  2. Step 2: Convert to fraction form
    103,165.89/154,724.21 = 53,220.27/x
  3. Step 3: Cross multiply
    103,165.89x = 154,724.21 × 53,220.27
  4. Step 4: Simplify right side
    103,165.89x = 8,234,464,745.43
  5. Step 5: Solve for x
    x = 8,234,464,745.43/103,165.89
  6. Step 6: Final answer
    x = 79,817.71

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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.