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Finding the Fourth Proportional to 213,515.09, 320,163.82 and 71,309.22

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Solution

The fourth proportional to 213,515.09, 320,163.82 and 71,309.22 is: 106,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,515.09 : 320,163.82 = 71,309.22 : x
  2. Step 2: Convert to fraction form
    213,515.09/320,163.82 = 71,309.22/x
  3. Step 3: Cross multiply
    213,515.09x = 320,163.82 × 71,309.22
  4. Step 4: Simplify right side
    213,515.09x = 22,830,631,298.65
  5. Step 5: Solve for x
    x = 22,830,631,298.65/213,515.09
  6. Step 6: Final answer
    x = 106,927.48

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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.