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Finding the Fourth Proportional to 142,491.42, 196,640.04 and 82,072.68

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Solution

The fourth proportional to 142,491.42, 196,640.04 and 82,072.68 is: 113,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,491.42 : 196,640.04 = 82,072.68 : x
  2. Step 2: Convert to fraction form
    142,491.42/196,640.04 = 82,072.68/x
  3. Step 3: Cross multiply
    142,491.42x = 196,640.04 × 82,072.68
  4. Step 4: Simplify right side
    142,491.42x = 16,138,775,078.11
  5. Step 5: Solve for x
    x = 16,138,775,078.11/142,491.42
  6. Step 6: Final answer
    x = 113,261.38

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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.