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Finding the Fourth Proportional to 102,735.90, 154,132.65 and 50,147.10

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Solution

The fourth proportional to 102,735.90, 154,132.65 and 50,147.10 is: 75,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,735.90 : 154,132.65 = 50,147.10 : x
  2. Step 2: Convert to fraction form
    102,735.90/154,132.65 = 50,147.10/x
  3. Step 3: Cross multiply
    102,735.90x = 154,132.65 × 50,147.10
  4. Step 4: Simplify right side
    102,735.90x = 7,729,305,412.82
  5. Step 5: Solve for x
    x = 7,729,305,412.82/102,735.90
  6. Step 6: Final answer
    x = 75,234.71

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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.