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Finding the Fourth Proportional to 200,674.26, 301,039.34 and 67,592.68

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Solution

The fourth proportional to 200,674.26, 301,039.34 and 67,592.68 is: 101,398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,674.26 : 301,039.34 = 67,592.68 : x
  2. Step 2: Convert to fraction form
    200,674.26/301,039.34 = 67,592.68/x
  3. Step 3: Cross multiply
    200,674.26x = 301,039.34 × 67,592.68
  4. Step 4: Simplify right side
    200,674.26x = 20,348,054,685.47
  5. Step 5: Solve for x
    x = 20,348,054,685.47/200,674.26
  6. Step 6: Final answer
    x = 101,398.43

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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.