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Finding the Fourth Proportional to 139,867, 193,016.46 and 76,204.78

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Solution

The fourth proportional to 139,867, 193,016.46 and 76,204.78 is: 105,162.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,867 : 193,016.46 = 76,204.78 : x
  2. Step 2: Convert to fraction form
    139,867/193,016.46 = 76,204.78/x
  3. Step 3: Cross multiply
    139,867x = 193,016.46 × 76,204.78
  4. Step 4: Simplify right side
    139,867x = 14,708,776,870.68
  5. Step 5: Solve for x
    x = 14,708,776,870.68/139,867
  6. Step 6: Final answer
    x = 105,162.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.