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Finding the Fourth Proportional to 150,296.70, 225,471.02 and 50,466.53

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Solution

The fourth proportional to 150,296.70, 225,471.02 and 50,466.53 is: 75,708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,296.70 : 225,471.02 = 50,466.53 : x
  2. Step 2: Convert to fraction form
    150,296.70/225,471.02 = 50,466.53/x
  3. Step 3: Cross multiply
    150,296.70x = 225,471.02 × 50,466.53
  4. Step 4: Simplify right side
    150,296.70x = 11,378,738,615.27
  5. Step 5: Solve for x
    x = 11,378,738,615.27/150,296.70
  6. Step 6: Final answer
    x = 75,708.51

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1.5x scale

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.