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Finding the Fourth Proportional to 203,965.44, 281,502.72 and 160,846.08

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Solution

The fourth proportional to 203,965.44, 281,502.72 and 160,846.08 is: 221,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,965.44 : 281,502.72 = 160,846.08 : x
  2. Step 2: Convert to fraction form
    203,965.44/281,502.72 = 160,846.08/x
  3. Step 3: Cross multiply
    203,965.44x = 281,502.72 × 160,846.08
  4. Step 4: Simplify right side
    203,965.44x = 45,278,609,021.34
  5. Step 5: Solve for x
    x = 45,278,609,021.34/203,965.44
  6. Step 6: Final answer
    x = 221,991.57

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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.