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Finding the Fourth Proportional to 180,811.90, 270,958.65 and 133,054.30

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Solution

The fourth proportional to 180,811.90, 270,958.65 and 133,054.30 is: 199,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,811.90 : 270,958.65 = 133,054.30 : x
  2. Step 2: Convert to fraction form
    180,811.90/270,958.65 = 133,054.30/x
  3. Step 3: Cross multiply
    180,811.90x = 270,958.65 × 133,054.30
  4. Step 4: Simplify right side
    180,811.90x = 36,052,213,504.70
  5. Step 5: Solve for x
    x = 36,052,213,504.70/180,811.90
  6. Step 6: Final answer
    x = 199,390.71

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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.