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Finding the Fourth Proportional to 120,494.79, 180,762.74 and 40,540.40

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Solution

The fourth proportional to 120,494.79, 180,762.74 and 40,540.40 is: 60,817.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,494.79 : 180,762.74 = 40,540.40 : x
  2. Step 2: Convert to fraction form
    120,494.79/180,762.74 = 40,540.40/x
  3. Step 3: Cross multiply
    120,494.79x = 180,762.74 × 40,540.40
  4. Step 4: Simplify right side
    120,494.79x = 7,328,193,508.07
  5. Step 5: Solve for x
    x = 7,328,193,508.07/120,494.79
  6. Step 6: Final answer
    x = 60,817.51

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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.