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Finding the Fourth Proportional to 133,771.46, 200,676.63 and 71,407.94

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Solution

The fourth proportional to 133,771.46, 200,676.63 and 71,407.94 is: 107,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,771.46 : 200,676.63 = 71,407.94 : x
  2. Step 2: Convert to fraction form
    133,771.46/200,676.63 = 71,407.94/x
  3. Step 3: Cross multiply
    133,771.46x = 200,676.63 × 71,407.94
  4. Step 4: Simplify right side
    133,771.46x = 14,329,904,754.44
  5. Step 5: Solve for x
    x = 14,329,904,754.44/133,771.46
  6. Step 6: Final answer
    x = 107,122.29

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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.