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Finding the Fourth Proportional to 139,576.13, 192,532.97 and 82,984.13

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Solution

The fourth proportional to 139,576.13, 192,532.97 and 82,984.13 is: 114,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,576.13 : 192,532.97 = 82,984.13 : x
  2. Step 2: Convert to fraction form
    139,576.13/192,532.97 = 82,984.13/x
  3. Step 3: Cross multiply
    139,576.13x = 192,532.97 × 82,984.13
  4. Step 4: Simplify right side
    139,576.13x = 15,977,181,011.77
  5. Step 5: Solve for x
    x = 15,977,181,011.77/139,576.13
  6. Step 6: Final answer
    x = 114,469.29

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1.5x scale

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.