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Finding the Fourth Proportional to 203,825.40, 305,738.10 and 157,169.40

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Solution

The fourth proportional to 203,825.40, 305,738.10 and 157,169.40 is: 235,754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,825.40 : 305,738.10 = 157,169.40 : x
  2. Step 2: Convert to fraction form
    203,825.40/305,738.10 = 157,169.40/x
  3. Step 3: Cross multiply
    203,825.40x = 305,738.10 × 157,169.40
  4. Step 4: Simplify right side
    203,825.40x = 48,052,673,734.14
  5. Step 5: Solve for x
    x = 48,052,673,734.14/203,825.40
  6. Step 6: Final answer
    x = 235,754.10

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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.