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Finding the Fourth Proportional to 211,909.50, 317,490.66 and 111,849.24

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Solution

The fourth proportional to 211,909.50, 317,490.66 and 111,849.24 is: 167,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,909.50 : 317,490.66 = 111,849.24 : x
  2. Step 2: Convert to fraction form
    211,909.50/317,490.66 = 111,849.24/x
  3. Step 3: Cross multiply
    211,909.50x = 317,490.66 × 111,849.24
  4. Step 4: Simplify right side
    211,909.50x = 35,511,089,028.10
  5. Step 5: Solve for x
    x = 35,511,089,028.10/211,909.50
  6. Step 6: Final answer
    x = 167,576.67

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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.