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Finding the Fourth Proportional to 202,809.20, 303,918 and 114,087.56

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Solution

The fourth proportional to 202,809.20, 303,918 and 114,087.56 is: 170,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,809.20 : 303,918 = 114,087.56 : x
  2. Step 2: Convert to fraction form
    202,809.20/303,918 = 114,087.56/x
  3. Step 3: Cross multiply
    202,809.20x = 303,918 × 114,087.56
  4. Step 4: Simplify right side
    202,809.20x = 34,673,263,060.08
  5. Step 5: Solve for x
    x = 34,673,263,060.08/202,809.20
  6. Step 6: Final answer
    x = 170,964.94

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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.