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Finding the Fourth Proportional to 150,632.49, 225,954.62 and 45,451.47

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Solution

The fourth proportional to 150,632.49, 225,954.62 and 45,451.47 is: 68,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,632.49 : 225,954.62 = 45,451.47 : x
  2. Step 2: Convert to fraction form
    150,632.49/225,954.62 = 45,451.47/x
  3. Step 3: Cross multiply
    150,632.49x = 225,954.62 × 45,451.47
  4. Step 4: Simplify right side
    150,632.49x = 10,269,969,405.03
  5. Step 5: Solve for x
    x = 10,269,969,405.03/150,632.49
  6. Step 6: Final answer
    x = 68,178.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.