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Finding the Fourth Proportional to 180,219.56, 270,408.41 and 85,518.20

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Solution

The fourth proportional to 180,219.56, 270,408.41 and 85,518.20 is: 128,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,219.56 : 270,408.41 = 85,518.20 : x
  2. Step 2: Convert to fraction form
    180,219.56/270,408.41 = 85,518.20/x
  3. Step 3: Cross multiply
    180,219.56x = 270,408.41 × 85,518.20
  4. Step 4: Simplify right side
    180,219.56x = 23,124,838,708.43
  5. Step 5: Solve for x
    x = 23,124,838,708.43/180,219.56
  6. Step 6: Final answer
    x = 128,314.81

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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.