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Finding the Fourth Proportional to 200,634.93, 300,740.28 and 74,194.05

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Solution

The fourth proportional to 200,634.93, 300,740.28 and 74,194.05 is: 111,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,634.93 : 300,740.28 = 74,194.05 : x
  2. Step 2: Convert to fraction form
    200,634.93/300,740.28 = 74,194.05/x
  3. Step 3: Cross multiply
    200,634.93x = 300,740.28 × 74,194.05
  4. Step 4: Simplify right side
    200,634.93x = 22,313,139,371.33
  5. Step 5: Solve for x
    x = 22,313,139,371.33/200,634.93
  6. Step 6: Final answer
    x = 111,212.64

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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.