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Finding the Fourth Proportional to 200,214.63, 300,321.75 and 67,094.97

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Solution

The fourth proportional to 200,214.63, 300,321.75 and 67,094.97 is: 100,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,214.63 : 300,321.75 = 67,094.97 : x
  2. Step 2: Convert to fraction form
    200,214.63/300,321.75 = 67,094.97/x
  3. Step 3: Cross multiply
    200,214.63x = 300,321.75 × 67,094.97
  4. Step 4: Simplify right side
    200,214.63x = 20,150,078,806.60
  5. Step 5: Solve for x
    x = 20,150,078,806.60/200,214.63
  6. Step 6: Final answer
    x = 100,642.39

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1.5x scale

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.