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Finding the Fourth Proportional to 199,846.62, 299,977.56 and 133,748.64

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Solution

The fourth proportional to 199,846.62, 299,977.56 and 133,748.64 is: 200,761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,846.62 : 299,977.56 = 133,748.64 : x
  2. Step 2: Convert to fraction form
    199,846.62/299,977.56 = 133,748.64/x
  3. Step 3: Cross multiply
    199,846.62x = 299,977.56 × 133,748.64
  4. Step 4: Simplify right side
    199,846.62x = 40,121,588,511.89
  5. Step 5: Solve for x
    x = 40,121,588,511.89/199,846.62
  6. Step 6: Final answer
    x = 200,761.91

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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.