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Finding the Fourth Proportional to 202,447.96, 303,640.81 and 67,514.39

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Solution

The fourth proportional to 202,447.96, 303,640.81 and 67,514.39 is: 101,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,447.96 : 303,640.81 = 67,514.39 : x
  2. Step 2: Convert to fraction form
    202,447.96/303,640.81 = 67,514.39/x
  3. Step 3: Cross multiply
    202,447.96x = 303,640.81 × 67,514.39
  4. Step 4: Simplify right side
    202,447.96x = 20,500,125,225.90
  5. Step 5: Solve for x
    x = 20,500,125,225.90/202,447.96
  6. Step 6: Final answer
    x = 101,261.21

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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.