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Finding the Fourth Proportional to 119,072.82, 164,328.72 and 78,716.61

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Solution

The fourth proportional to 119,072.82, 164,328.72 and 78,716.61 is: 108,634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,072.82 : 164,328.72 = 78,716.61 : x
  2. Step 2: Convert to fraction form
    119,072.82/164,328.72 = 78,716.61/x
  3. Step 3: Cross multiply
    119,072.82x = 164,328.72 × 78,716.61
  4. Step 4: Simplify right side
    119,072.82x = 12,935,399,764.04
  5. Step 5: Solve for x
    x = 12,935,399,764.04/119,072.82
  6. Step 6: Final answer
    x = 108,634.36

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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.