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Finding the Fourth Proportional to 120,257.39, 180,395.49 and 40,295.63

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Solution

The fourth proportional to 120,257.39, 180,395.49 and 40,295.63 is: 60,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,257.39 : 180,395.49 = 40,295.63 : x
  2. Step 2: Convert to fraction form
    120,257.39/180,395.49 = 40,295.63/x
  3. Step 3: Cross multiply
    120,257.39x = 180,395.49 × 40,295.63
  4. Step 4: Simplify right side
    120,257.39x = 7,269,149,918.71
  5. Step 5: Solve for x
    x = 7,269,149,918.71/120,257.39
  6. Step 6: Final answer
    x = 60,446.60

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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.