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Finding the Fourth Proportional to 120,569.91, 180,853.03 and 50,449.22

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Solution

The fourth proportional to 120,569.91, 180,853.03 and 50,449.22 is: 75,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,569.91 : 180,853.03 = 50,449.22 : x
  2. Step 2: Convert to fraction form
    120,569.91/180,853.03 = 50,449.22/x
  3. Step 3: Cross multiply
    120,569.91x = 180,853.03 × 50,449.22
  4. Step 4: Simplify right side
    120,569.91x = 9,123,894,298.14
  5. Step 5: Solve for x
    x = 9,123,894,298.14/120,569.91
  6. Step 6: Final answer
    x = 75,673.06

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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.