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Finding the Fourth Proportional to 120,190.64, 180,284.54 and 50,069.95

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Solution

The fourth proportional to 120,190.64, 180,284.54 and 50,069.95 is: 75,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,190.64 : 180,284.54 = 50,069.95 : x
  2. Step 2: Convert to fraction form
    120,190.64/180,284.54 = 50,069.95/x
  3. Step 3: Cross multiply
    120,190.64x = 180,284.54 × 50,069.95
  4. Step 4: Simplify right side
    120,190.64x = 9,026,837,202.51
  5. Step 5: Solve for x
    x = 9,026,837,202.51/120,190.64
  6. Step 6: Final answer
    x = 75,104.33

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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.