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Finding the Fourth Proportional to 139,682.43, 192,782.07 and 78,435.49

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Solution

The fourth proportional to 139,682.43, 192,782.07 and 78,435.49 is: 108,252.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,682.43 : 192,782.07 = 78,435.49 : x
  2. Step 2: Convert to fraction form
    139,682.43/192,782.07 = 78,435.49/x
  3. Step 3: Cross multiply
    139,682.43x = 192,782.07 × 78,435.49
  4. Step 4: Simplify right side
    139,682.43x = 15,120,956,123.66
  5. Step 5: Solve for x
    x = 15,120,956,123.66/139,682.43
  6. Step 6: Final answer
    x = 108,252.38

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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.