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Finding the Fourth Proportional to 150,347.23, 225,546.90 and 50,517.16

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Solution

The fourth proportional to 150,347.23, 225,546.90 and 50,517.16 is: 75,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,347.23 : 225,546.90 = 50,517.16 : x
  2. Step 2: Convert to fraction form
    150,347.23/225,546.90 = 50,517.16/x
  3. Step 3: Cross multiply
    150,347.23x = 225,546.90 × 50,517.16
  4. Step 4: Simplify right side
    150,347.23x = 11,393,988,834.80
  5. Step 5: Solve for x
    x = 11,393,988,834.80/150,347.23
  6. Step 6: Final answer
    x = 75,784.49

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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.