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Finding the Fourth Proportional to 201,723.70, 302,498.06 and 68,568.20

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Solution

The fourth proportional to 201,723.70, 302,498.06 and 68,568.20 is: 102,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,723.70 : 302,498.06 = 68,568.20 : x
  2. Step 2: Convert to fraction form
    201,723.70/302,498.06 = 68,568.20/x
  3. Step 3: Cross multiply
    201,723.70x = 302,498.06 × 68,568.20
  4. Step 4: Simplify right side
    201,723.70x = 20,741,747,477.69
  5. Step 5: Solve for x
    x = 20,741,747,477.69/201,723.70
  6. Step 6: Final answer
    x = 102,822.56

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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.