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Finding the Fourth Proportional to 194,309.40, 291,464.10 and 111,211.80

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Solution

The fourth proportional to 194,309.40, 291,464.10 and 111,211.80 is: 166,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,309.40 : 291,464.10 = 111,211.80 : x
  2. Step 2: Convert to fraction form
    194,309.40/291,464.10 = 111,211.80/x
  3. Step 3: Cross multiply
    194,309.40x = 291,464.10 × 111,211.80
  4. Step 4: Simplify right side
    194,309.40x = 32,414,247,196.38
  5. Step 5: Solve for x
    x = 32,414,247,196.38/194,309.40
  6. Step 6: Final answer
    x = 166,817.70

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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.