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Finding the Fourth Proportional to 200,433.09, 300,674.39 and 65,493.97

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Solution

The fourth proportional to 200,433.09, 300,674.39 and 65,493.97 is: 98,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,433.09 : 300,674.39 = 65,493.97 : x
  2. Step 2: Convert to fraction form
    200,433.09/300,674.39 = 65,493.97/x
  3. Step 3: Cross multiply
    200,433.09x = 300,674.39 × 65,493.97
  4. Step 4: Simplify right side
    200,433.09x = 19,692,359,526.80
  5. Step 5: Solve for x
    x = 19,692,359,526.80/200,433.09
  6. Step 6: Final answer
    x = 98,249.05

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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.