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Finding the Fourth Proportional to 100,147.32, 150,249.24 and 50,167.08

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Solution

The fourth proportional to 100,147.32, 150,249.24 and 50,167.08 is: 75,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,147.32 : 150,249.24 = 50,167.08 : x
  2. Step 2: Convert to fraction form
    100,147.32/150,249.24 = 50,167.08/x
  3. Step 3: Cross multiply
    100,147.32x = 150,249.24 × 50,167.08
  4. Step 4: Simplify right side
    100,147.32x = 7,537,565,643.02
  5. Step 5: Solve for x
    x = 7,537,565,643.02/100,147.32
  6. Step 6: Final answer
    x = 75,264.78

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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.