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Finding the Fourth Proportional to 120,620.73, 180,938.15 and 40,652

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Solution

The fourth proportional to 120,620.73, 180,938.15 and 40,652 is: 60,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,620.73 : 180,938.15 = 40,652 : x
  2. Step 2: Convert to fraction form
    120,620.73/180,938.15 = 40,652/x
  3. Step 3: Cross multiply
    120,620.73x = 180,938.15 × 40,652
  4. Step 4: Simplify right side
    120,620.73x = 7,355,497,673.80
  5. Step 5: Solve for x
    x = 7,355,497,673.80/120,620.73
  6. Step 6: Final answer
    x = 60,980.38

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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.