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Finding the Fourth Proportional to 230,546.44, 345,849.90 and 90,286.84

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Solution

The fourth proportional to 230,546.44, 345,849.90 and 90,286.84 is: 135,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,546.44 : 345,849.90 = 90,286.84 : x
  2. Step 2: Convert to fraction form
    230,546.44/345,849.90 = 90,286.84/x
  3. Step 3: Cross multiply
    230,546.44x = 345,849.90 × 90,286.84
  4. Step 4: Simplify right side
    230,546.44x = 31,225,694,585.32
  5. Step 5: Solve for x
    x = 31,225,694,585.32/230,546.44
  6. Step 6: Final answer
    x = 135,442.10

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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.