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Finding the Fourth Proportional to 150,192.98, 225,040.69 and 105,601.88

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Solution

The fourth proportional to 150,192.98, 225,040.69 and 105,601.88 is: 158,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,192.98 : 225,040.69 = 105,601.88 : x
  2. Step 2: Convert to fraction form
    150,192.98/225,040.69 = 105,601.88/x
  3. Step 3: Cross multiply
    150,192.98x = 225,040.69 × 105,601.88
  4. Step 4: Simplify right side
    150,192.98x = 23,764,719,940.50
  5. Step 5: Solve for x
    x = 23,764,719,940.50/150,192.98
  6. Step 6: Final answer
    x = 158,227.90

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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.