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Finding the Fourth Proportional to 202,412.43, 303,619.68 and 84,083.90

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Solution

The fourth proportional to 202,412.43, 303,619.68 and 84,083.90 is: 126,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,412.43 : 303,619.68 = 84,083.90 : x
  2. Step 2: Convert to fraction form
    202,412.43/303,619.68 = 84,083.90/x
  3. Step 3: Cross multiply
    202,412.43x = 303,619.68 × 84,083.90
  4. Step 4: Simplify right side
    202,412.43x = 25,529,525,293.05
  5. Step 5: Solve for x
    x = 25,529,525,293.05/202,412.43
  6. Step 6: Final answer
    x = 126,126.27

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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.