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Finding the Fourth Proportional to 180,138.80, 270,116.48 and 60,152.61

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Solution

The fourth proportional to 180,138.80, 270,116.48 and 60,152.61 is: 90,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,138.80 : 270,116.48 = 60,152.61 : x
  2. Step 2: Convert to fraction form
    180,138.80/270,116.48 = 60,152.61/x
  3. Step 3: Cross multiply
    180,138.80x = 270,116.48 × 60,152.61
  4. Step 4: Simplify right side
    180,138.80x = 16,248,211,426.39
  5. Step 5: Solve for x
    x = 16,248,211,426.39/180,138.80
  6. Step 6: Final answer
    x = 90,198.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.