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Finding the Fourth Proportional to 120,879, 180,431.16 and 111,972.45

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Solution

The fourth proportional to 120,879, 180,431.16 and 111,972.45 is: 167,136.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,879 : 180,431.16 = 111,972.45 : x
  2. Step 2: Convert to fraction form
    120,879/180,431.16 = 111,972.45/x
  3. Step 3: Cross multiply
    120,879x = 180,431.16 × 111,972.45
  4. Step 4: Simplify right side
    120,879x = 20,203,319,041.54
  5. Step 5: Solve for x
    x = 20,203,319,041.54/120,879
  6. Step 6: Final answer
    x = 167,136.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.