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Finding the Fourth Proportional to 120,093.84, 165,717.96 and 66,370.14

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Solution

The fourth proportional to 120,093.84, 165,717.96 and 66,370.14 is: 91,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,093.84 : 165,717.96 = 66,370.14 : x
  2. Step 2: Convert to fraction form
    120,093.84/165,717.96 = 66,370.14/x
  3. Step 3: Cross multiply
    120,093.84x = 165,717.96 × 66,370.14
  4. Step 4: Simplify right side
    120,093.84x = 10,998,724,205.71
  5. Step 5: Solve for x
    x = 10,998,724,205.71/120,093.84
  6. Step 6: Final answer
    x = 91,584.42

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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.