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Finding the Fourth Proportional to 171,040.40, 256,451.93 and 150,022.64

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Solution

The fourth proportional to 171,040.40, 256,451.93 and 150,022.64 is: 224,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,040.40 : 256,451.93 = 150,022.64 : x
  2. Step 2: Convert to fraction form
    171,040.40/256,451.93 = 150,022.64/x
  3. Step 3: Cross multiply
    171,040.40x = 256,451.93 × 150,022.64
  4. Step 4: Simplify right side
    171,040.40x = 38,473,595,571.70
  5. Step 5: Solve for x
    x = 38,473,595,571.70/171,040.40
  6. Step 6: Final answer
    x = 224,938.64

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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.