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Finding the Fourth Proportional to 253,830.68, 350,286.34 and 140,653.44

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Solution

The fourth proportional to 253,830.68, 350,286.34 and 140,653.44 is: 194,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,830.68 : 350,286.34 = 140,653.44 : x
  2. Step 2: Convert to fraction form
    253,830.68/350,286.34 = 140,653.44/x
  3. Step 3: Cross multiply
    253,830.68x = 350,286.34 × 140,653.44
  4. Step 4: Simplify right side
    253,830.68x = 49,268,978,706.01
  5. Step 5: Solve for x
    x = 49,268,978,706.01/253,830.68
  6. Step 6: Final answer
    x = 194,101.75

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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.