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Finding the Fourth Proportional to 202,448.07, 303,640.97 and 67,514.50

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Solution

The fourth proportional to 202,448.07, 303,640.97 and 67,514.50 is: 101,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,448.07 : 303,640.97 = 67,514.50 : x
  2. Step 2: Convert to fraction form
    202,448.07/303,640.97 = 67,514.50/x
  3. Step 3: Cross multiply
    202,448.07x = 303,640.97 × 67,514.50
  4. Step 4: Simplify right side
    202,448.07x = 20,500,168,269.07
  5. Step 5: Solve for x
    x = 20,500,168,269.07/202,448.07
  6. Step 6: Final answer
    x = 101,261.37

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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.