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Finding the Fourth Proportional to 139,989.97, 193,216.32 and 82,607.95

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Solution

The fourth proportional to 139,989.97, 193,216.32 and 82,607.95 is: 114,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,989.97 : 193,216.32 = 82,607.95 : x
  2. Step 2: Convert to fraction form
    139,989.97/193,216.32 = 82,607.95/x
  3. Step 3: Cross multiply
    139,989.97x = 193,216.32 × 82,607.95
  4. Step 4: Simplify right side
    139,989.97x = 15,961,204,101.74
  5. Step 5: Solve for x
    x = 15,961,204,101.74/139,989.97
  6. Step 6: Final answer
    x = 114,016.77

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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.