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Finding the Fourth Proportional to 150,025.44, 224,953.92 and 50,133

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Solution

The fourth proportional to 150,025.44, 224,953.92 and 50,133 is: 75,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,025.44 : 224,953.92 = 50,133 : x
  2. Step 2: Convert to fraction form
    150,025.44/224,953.92 = 50,133/x
  3. Step 3: Cross multiply
    150,025.44x = 224,953.92 × 50,133
  4. Step 4: Simplify right side
    150,025.44x = 11,277,614,871.36
  5. Step 5: Solve for x
    x = 11,277,614,871.36/150,025.44
  6. Step 6: Final answer
    x = 75,171.35

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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.