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Finding the Fourth Proportional to 120,081.69, 180,122.30 and 112,774.38

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Solution

The fourth proportional to 120,081.69, 180,122.30 and 112,774.38 is: 169,161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,081.69 : 180,122.30 = 112,774.38 : x
  2. Step 2: Convert to fraction form
    120,081.69/180,122.30 = 112,774.38/x
  3. Step 3: Cross multiply
    120,081.69x = 180,122.30 × 112,774.38
  4. Step 4: Simplify right side
    120,081.69x = 20,313,180,706.67
  5. Step 5: Solve for x
    x = 20,313,180,706.67/120,081.69
  6. Step 6: Final answer
    x = 169,161.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.