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Finding the Fourth Proportional to 150,813.84, 226,224 and 45,632.64

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Solution

The fourth proportional to 150,813.84, 226,224 and 45,632.64 is: 68,449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,813.84 : 226,224 = 45,632.64 : x
  2. Step 2: Convert to fraction form
    150,813.84/226,224 = 45,632.64/x
  3. Step 3: Cross multiply
    150,813.84x = 226,224 × 45,632.64
  4. Step 4: Simplify right side
    150,813.84x = 10,323,198,351.36
  5. Step 5: Solve for x
    x = 10,323,198,351.36/150,813.84
  6. Step 6: Final answer
    x = 68,449.94

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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.