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Finding the Fourth Proportional to 200,414.71, 300,649.75 and 67,333.03

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Solution

The fourth proportional to 200,414.71, 300,649.75 and 67,333.03 is: 101,008.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,414.71 : 300,649.75 = 67,333.03 : x
  2. Step 2: Convert to fraction form
    200,414.71/300,649.75 = 67,333.03/x
  3. Step 3: Cross multiply
    200,414.71x = 300,649.75 × 67,333.03
  4. Step 4: Simplify right side
    200,414.71x = 20,243,657,716.29
  5. Step 5: Solve for x
    x = 20,243,657,716.29/200,414.71
  6. Step 6: Final answer
    x = 101,008.84

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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.