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Finding the Fourth Proportional to 150,090, 225,088 and 50,226.84

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Solution

The fourth proportional to 150,090, 225,088 and 50,226.84 is: 75,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,090 : 225,088 = 50,226.84 : x
  2. Step 2: Convert to fraction form
    150,090/225,088 = 50,226.84/x
  3. Step 3: Cross multiply
    150,090x = 225,088 × 50,226.84
  4. Step 4: Simplify right side
    150,090x = 11,305,458,961.92
  5. Step 5: Solve for x
    x = 11,305,458,961.92/150,090
  6. Step 6: Final answer
    x = 75,324.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.