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Finding the Fourth Proportional to 100,405.44, 150,518.67 and 38,119.68

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Solution

The fourth proportional to 100,405.44, 150,518.67 and 38,119.68 is: 57,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,405.44 : 150,518.67 = 38,119.68 : x
  2. Step 2: Convert to fraction form
    100,405.44/150,518.67 = 38,119.68/x
  3. Step 3: Cross multiply
    100,405.44x = 150,518.67 × 38,119.68
  4. Step 4: Simplify right side
    100,405.44x = 5,737,723,534.43
  5. Step 5: Solve for x
    x = 5,737,723,534.43/100,405.44
  6. Step 6: Final answer
    x = 57,145.54

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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.