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Finding the Fourth Proportional to 139,382.46, 192,348.27 and 82,024.02

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Solution

The fourth proportional to 139,382.46, 192,348.27 and 82,024.02 is: 113,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,382.46 : 192,348.27 = 82,024.02 : x
  2. Step 2: Convert to fraction form
    139,382.46/192,348.27 = 82,024.02/x
  3. Step 3: Cross multiply
    139,382.46x = 192,348.27 × 82,024.02
  4. Step 4: Simplify right side
    139,382.46x = 15,777,178,345.45
  5. Step 5: Solve for x
    x = 15,777,178,345.45/139,382.46
  6. Step 6: Final answer
    x = 113,193.43

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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.