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Finding the Fourth Proportional to 180,067.73, 270,271.08 and 91,384.88

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Solution

The fourth proportional to 180,067.73, 270,271.08 and 91,384.88 is: 137,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,067.73 : 270,271.08 = 91,384.88 : x
  2. Step 2: Convert to fraction form
    180,067.73/270,271.08 = 91,384.88/x
  3. Step 3: Cross multiply
    180,067.73x = 270,271.08 × 91,384.88
  4. Step 4: Simplify right side
    180,067.73x = 24,698,688,861.92
  5. Step 5: Solve for x
    x = 24,698,688,861.92/180,067.73
  6. Step 6: Final answer
    x = 137,163.33

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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.