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Finding the Fourth Proportional to 180,212.95, 270,398.55 and 85,511.60

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Solution

The fourth proportional to 180,212.95, 270,398.55 and 85,511.60 is: 128,304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,212.95 : 270,398.55 = 85,511.60 : x
  2. Step 2: Convert to fraction form
    180,212.95/270,398.55 = 85,511.60/x
  3. Step 3: Cross multiply
    180,212.95x = 270,398.55 × 85,511.60
  4. Step 4: Simplify right side
    180,212.95x = 23,122,212,630.85
  5. Step 5: Solve for x
    x = 23,122,212,630.85/180,212.95
  6. Step 6: Final answer
    x = 128,304.94

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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.