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Finding the Fourth Proportional to 138,667.96, 191,361.83 and 78,251.40

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Solution

The fourth proportional to 138,667.96, 191,361.83 and 78,251.40 is: 107,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,667.96 : 191,361.83 = 78,251.40 : x
  2. Step 2: Convert to fraction form
    138,667.96/191,361.83 = 78,251.40/x
  3. Step 3: Cross multiply
    138,667.96x = 191,361.83 × 78,251.40
  4. Step 4: Simplify right side
    138,667.96x = 14,974,331,104.06
  5. Step 5: Solve for x
    x = 14,974,331,104.06/138,667.96
  6. Step 6: Final answer
    x = 107,986.96

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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.