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Finding the Fourth Proportional to 213,446.94, 320,335.64 and 80,448.18

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Solution

The fourth proportional to 213,446.94, 320,335.64 and 80,448.18 is: 120,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,446.94 : 320,335.64 = 80,448.18 : x
  2. Step 2: Convert to fraction form
    213,446.94/320,335.64 = 80,448.18/x
  3. Step 3: Cross multiply
    213,446.94x = 320,335.64 × 80,448.18
  4. Step 4: Simplify right side
    213,446.94x = 25,770,419,227.14
  5. Step 5: Solve for x
    x = 25,770,419,227.14/213,446.94
  6. Step 6: Final answer
    x = 120,734.55

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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.