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Finding the Fourth Proportional to 100,353.69, 150,511.32 and 50,419.94

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Solution

The fourth proportional to 100,353.69, 150,511.32 and 50,419.94 is: 75,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,353.69 : 150,511.32 = 50,419.94 : x
  2. Step 2: Convert to fraction form
    100,353.69/150,511.32 = 50,419.94/x
  3. Step 3: Cross multiply
    100,353.69x = 150,511.32 × 50,419.94
  4. Step 4: Simplify right side
    100,353.69x = 7,588,770,971.16
  5. Step 5: Solve for x
    x = 7,588,770,971.16/100,353.69
  6. Step 6: Final answer
    x = 75,620.25

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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.