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Finding the Fourth Proportional to 224,538.21, 309,855 and 133,847.43

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Solution

The fourth proportional to 224,538.21, 309,855 and 133,847.43 is: 184,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,538.21 : 309,855 = 133,847.43 : x
  2. Step 2: Convert to fraction form
    224,538.21/309,855 = 133,847.43/x
  3. Step 3: Cross multiply
    224,538.21x = 309,855 × 133,847.43
  4. Step 4: Simplify right side
    224,538.21x = 41,473,295,422.65
  5. Step 5: Solve for x
    x = 41,473,295,422.65/224,538.21
  6. Step 6: Final answer
    x = 184,704.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.