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Finding the Fourth Proportional to 175,540.80, 263,311.20 and 140,548.80

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Solution

The fourth proportional to 175,540.80, 263,311.20 and 140,548.80 is: 210,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,540.80 : 263,311.20 = 140,548.80 : x
  2. Step 2: Convert to fraction form
    175,540.80/263,311.20 = 140,548.80/x
  3. Step 3: Cross multiply
    175,540.80x = 263,311.20 × 140,548.80
  4. Step 4: Simplify right side
    175,540.80x = 37,008,073,186.56
  5. Step 5: Solve for x
    x = 37,008,073,186.56/175,540.80
  6. Step 6: Final answer
    x = 210,823.20

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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.