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Finding the Fourth Proportional to 120,619.35, 180,929.49 and 50,449.44

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Solution

The fourth proportional to 120,619.35, 180,929.49 and 50,449.44 is: 75,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,619.35 : 180,929.49 = 50,449.44 : x
  2. Step 2: Convert to fraction form
    120,619.35/180,929.49 = 50,449.44/x
  3. Step 3: Cross multiply
    120,619.35x = 180,929.49 × 50,449.44
  4. Step 4: Simplify right side
    120,619.35x = 9,127,791,449.99
  5. Step 5: Solve for x
    x = 9,127,791,449.99/120,619.35
  6. Step 6: Final answer
    x = 75,674.35

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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.