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Finding the Fourth Proportional to 100,205.30, 150,236.76 and 50,249.36

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Solution

The fourth proportional to 100,205.30, 150,236.76 and 50,249.36 is: 75,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,205.30 : 150,236.76 = 50,249.36 : x
  2. Step 2: Convert to fraction form
    100,205.30/150,236.76 = 50,249.36/x
  3. Step 3: Cross multiply
    100,205.30x = 150,236.76 × 50,249.36
  4. Step 4: Simplify right side
    100,205.30x = 7,549,301,038.47
  5. Step 5: Solve for x
    x = 7,549,301,038.47/100,205.30
  6. Step 6: Final answer
    x = 75,338.34

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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.