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Finding the Fourth Proportional to 147,874.80, 204,067 and 84,212.64

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Solution

The fourth proportional to 147,874.80, 204,067 and 84,212.64 is: 116,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,874.80 : 204,067 = 84,212.64 : x
  2. Step 2: Convert to fraction form
    147,874.80/204,067 = 84,212.64/x
  3. Step 3: Cross multiply
    147,874.80x = 204,067 × 84,212.64
  4. Step 4: Simplify right side
    147,874.80x = 17,185,020,806.88
  5. Step 5: Solve for x
    x = 17,185,020,806.88/147,874.80
  6. Step 6: Final answer
    x = 116,213.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.