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Finding the Fourth Proportional to 149,969.94, 224,949.24 and 37,651.02

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Solution

The fourth proportional to 149,969.94, 224,949.24 and 37,651.02 is: 56,475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,969.94 : 224,949.24 = 37,651.02 : x
  2. Step 2: Convert to fraction form
    149,969.94/224,949.24 = 37,651.02/x
  3. Step 3: Cross multiply
    149,969.94x = 224,949.24 × 37,651.02
  4. Step 4: Simplify right side
    149,969.94x = 8,469,568,334.22
  5. Step 5: Solve for x
    x = 8,469,568,334.22/149,969.94
  6. Step 6: Final answer
    x = 56,475.11

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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.