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Finding the Fourth Proportional to 230,194.20, 317,717.02 and 154,698.96

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Solution

The fourth proportional to 230,194.20, 317,717.02 and 154,698.96 is: 213,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,194.20 : 317,717.02 = 154,698.96 : x
  2. Step 2: Convert to fraction form
    230,194.20/317,717.02 = 154,698.96/x
  3. Step 3: Cross multiply
    230,194.20x = 317,717.02 × 154,698.96
  4. Step 4: Simplify right side
    230,194.20x = 49,150,492,568.30
  5. Step 5: Solve for x
    x = 49,150,492,568.30/230,194.20
  6. Step 6: Final answer
    x = 213,517.51

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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.