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Finding the Fourth Proportional to 100,201.77, 150,309.95 and 33,641.34

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Solution

The fourth proportional to 100,201.77, 150,309.95 and 33,641.34 is: 50,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,201.77 : 150,309.95 = 33,641.34 : x
  2. Step 2: Convert to fraction form
    100,201.77/150,309.95 = 33,641.34/x
  3. Step 3: Cross multiply
    100,201.77x = 150,309.95 × 33,641.34
  4. Step 4: Simplify right side
    100,201.77x = 5,056,627,401.46
  5. Step 5: Solve for x
    x = 5,056,627,401.46/100,201.77
  6. Step 6: Final answer
    x = 50,464.45

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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.