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Finding the Fourth Proportional to 180,152.63, 270,137.12 and 60,166.41

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Solution

The fourth proportional to 180,152.63, 270,137.12 and 60,166.41 is: 90,218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,152.63 : 270,137.12 = 60,166.41 : x
  2. Step 2: Convert to fraction form
    180,152.63/270,137.12 = 60,166.41/x
  3. Step 3: Cross multiply
    180,152.63x = 270,137.12 × 60,166.41
  4. Step 4: Simplify right side
    180,152.63x = 16,253,180,417.31
  5. Step 5: Solve for x
    x = 16,253,180,417.31/180,152.63
  6. Step 6: Final answer
    x = 90,218.95

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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.