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Finding the Fourth Proportional to 230,821.20, 346,231.80 and 130,942.80

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Solution

The fourth proportional to 230,821.20, 346,231.80 and 130,942.80 is: 196,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,821.20 : 346,231.80 = 130,942.80 : x
  2. Step 2: Convert to fraction form
    230,821.20/346,231.80 = 130,942.80/x
  3. Step 3: Cross multiply
    230,821.20x = 346,231.80 × 130,942.80
  4. Step 4: Simplify right side
    230,821.20x = 45,336,561,341.04
  5. Step 5: Solve for x
    x = 45,336,561,341.04/230,821.20
  6. Step 6: Final answer
    x = 196,414.20

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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.