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Finding the Fourth Proportional to 102,072.39, 140,867.79 and 61,238.06

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Solution

The fourth proportional to 102,072.39, 140,867.79 and 61,238.06 is: 84,513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,072.39 : 140,867.79 = 61,238.06 : x
  2. Step 2: Convert to fraction form
    102,072.39/140,867.79 = 61,238.06/x
  3. Step 3: Cross multiply
    102,072.39x = 140,867.79 × 61,238.06
  4. Step 4: Simplify right side
    102,072.39x = 8,626,469,471.75
  5. Step 5: Solve for x
    x = 8,626,469,471.75/102,072.39
  6. Step 6: Final answer
    x = 84,513.25

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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.