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Finding the Fourth Proportional to 253,694.25, 350,098.07 and 140,524.29

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Solution

The fourth proportional to 253,694.25, 350,098.07 and 140,524.29 is: 193,923.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,694.25 : 350,098.07 = 140,524.29 : x
  2. Step 2: Convert to fraction form
    253,694.25/350,098.07 = 140,524.29/x
  3. Step 3: Cross multiply
    253,694.25x = 350,098.07 × 140,524.29
  4. Step 4: Simplify right side
    253,694.25x = 49,197,282,014.50
  5. Step 5: Solve for x
    x = 49,197,282,014.50/253,694.25
  6. Step 6: Final answer
    x = 193,923.52

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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.