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Finding the Fourth Proportional to 102,757.50, 154,162.17 and 28,885.50

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Solution

The fourth proportional to 102,757.50, 154,162.17 and 28,885.50 is: 43,335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,757.50 : 154,162.17 = 28,885.50 : x
  2. Step 2: Convert to fraction form
    102,757.50/154,162.17 = 28,885.50/x
  3. Step 3: Cross multiply
    102,757.50x = 154,162.17 × 28,885.50
  4. Step 4: Simplify right side
    102,757.50x = 4,453,051,361.54
  5. Step 5: Solve for x
    x = 4,453,051,361.54/102,757.50
  6. Step 6: Final answer
    x = 43,335.54

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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.