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Finding the Fourth Proportional to 139,110.76, 191,943.30 and 82,540.52

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Solution

The fourth proportional to 139,110.76, 191,943.30 and 82,540.52 is: 113,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,110.76 : 191,943.30 = 82,540.52 : x
  2. Step 2: Convert to fraction form
    139,110.76/191,943.30 = 82,540.52/x
  3. Step 3: Cross multiply
    139,110.76x = 191,943.30 × 82,540.52
  4. Step 4: Simplify right side
    139,110.76x = 15,843,099,792.52
  5. Step 5: Solve for x
    x = 15,843,099,792.52/139,110.76
  6. Step 6: Final answer
    x = 113,888.38

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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.