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Finding the Fourth Proportional to 202,215.88, 303,323.92 and 69,097.44

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Solution

The fourth proportional to 202,215.88, 303,323.92 and 69,097.44 is: 103,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,215.88 : 303,323.92 = 69,097.44 : x
  2. Step 2: Convert to fraction form
    202,215.88/303,323.92 = 69,097.44/x
  3. Step 3: Cross multiply
    202,215.88x = 303,323.92 × 69,097.44
  4. Step 4: Simplify right side
    202,215.88x = 20,958,906,362.76
  5. Step 5: Solve for x
    x = 20,958,906,362.76/202,215.88
  6. Step 6: Final answer
    x = 103,646.19

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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.