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Finding the Fourth Proportional to 200,674.36, 300,823.20 and 67,461.44

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Solution

The fourth proportional to 200,674.36, 300,823.20 and 67,461.44 is: 101,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,674.36 : 300,823.20 = 67,461.44 : x
  2. Step 2: Convert to fraction form
    200,674.36/300,823.20 = 67,461.44/x
  3. Step 3: Cross multiply
    200,674.36x = 300,823.20 × 67,461.44
  4. Step 4: Simplify right side
    200,674.36x = 20,293,966,257.41
  5. Step 5: Solve for x
    x = 20,293,966,257.41/200,674.36
  6. Step 6: Final answer
    x = 101,128.85

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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.