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Finding the Fourth Proportional to 181,144.80, 270,842.40 and 133,905.60

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Solution

The fourth proportional to 181,144.80, 270,842.40 and 133,905.60 is: 200,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,144.80 : 270,842.40 = 133,905.60 : x
  2. Step 2: Convert to fraction form
    181,144.80/270,842.40 = 133,905.60/x
  3. Step 3: Cross multiply
    181,144.80x = 270,842.40 × 133,905.60
  4. Step 4: Simplify right side
    181,144.80x = 36,267,314,077.44
  5. Step 5: Solve for x
    x = 36,267,314,077.44/181,144.80
  6. Step 6: Final answer
    x = 200,211.73

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1.5x scale

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.