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Finding the Fourth Proportional to 213,232.50, 319,651.92 and 80,022.33

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Solution

The fourth proportional to 213,232.50, 319,651.92 and 80,022.33 is: 119,959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,232.50 : 319,651.92 = 80,022.33 : x
  2. Step 2: Convert to fraction form
    213,232.50/319,651.92 = 80,022.33/x
  3. Step 3: Cross multiply
    213,232.50x = 319,651.92 × 80,022.33
  4. Step 4: Simplify right side
    213,232.50x = 25,579,291,427.37
  5. Step 5: Solve for x
    x = 25,579,291,427.37/213,232.50
  6. Step 6: Final answer
    x = 119,959.63

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Why These Related Problems?

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