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Finding the Fourth Proportional to 202,808.82, 303,998.72 and 76,394.37

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Solution

The fourth proportional to 202,808.82, 303,998.72 and 76,394.37 is: 114,510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,808.82 : 303,998.72 = 76,394.37 : x
  2. Step 2: Convert to fraction form
    202,808.82/303,998.72 = 76,394.37/x
  3. Step 3: Cross multiply
    202,808.82x = 303,998.72 × 76,394.37
  4. Step 4: Simplify right side
    202,808.82x = 23,223,790,313.23
  5. Step 5: Solve for x
    x = 23,223,790,313.23/202,808.82
  6. Step 6: Final answer
    x = 114,510.75

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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.