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Finding the Fourth Proportional to 204,224.40, 305,899.20 and 164,858.40

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Solution

The fourth proportional to 204,224.40, 305,899.20 and 164,858.40 is: 246,934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,224.40 : 305,899.20 = 164,858.40 : x
  2. Step 2: Convert to fraction form
    204,224.40/305,899.20 = 164,858.40/x
  3. Step 3: Cross multiply
    204,224.40x = 305,899.20 × 164,858.40
  4. Step 4: Simplify right side
    204,224.40x = 50,430,052,673.28
  5. Step 5: Solve for x
    x = 50,430,052,673.28/204,224.40
  6. Step 6: Final answer
    x = 246,934.51

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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.