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Finding the Fourth Proportional to 211,912.50, 317,889.75 and 67,782.12

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Solution

The fourth proportional to 211,912.50, 317,889.75 and 67,782.12 is: 101,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,912.50 : 317,889.75 = 67,782.12 : x
  2. Step 2: Convert to fraction form
    211,912.50/317,889.75 = 67,782.12/x
  3. Step 3: Cross multiply
    211,912.50x = 317,889.75 × 67,782.12
  4. Step 4: Simplify right side
    211,912.50x = 21,547,239,422.37
  5. Step 5: Solve for x
    x = 21,547,239,422.37/211,912.50
  6. Step 6: Final answer
    x = 101,679.89

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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.