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Finding the Fourth Proportional to 194,311.40, 291,467.10 and 111,213.80

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Solution

The fourth proportional to 194,311.40, 291,467.10 and 111,213.80 is: 166,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,311.40 : 291,467.10 = 111,213.80 : x
  2. Step 2: Convert to fraction form
    194,311.40/291,467.10 = 111,213.80/x
  3. Step 3: Cross multiply
    194,311.40x = 291,467.10 × 111,213.80
  4. Step 4: Simplify right side
    194,311.40x = 32,415,163,765.98
  5. Step 5: Solve for x
    x = 32,415,163,765.98/194,311.40
  6. Step 6: Final answer
    x = 166,820.70

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