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Finding the Fourth Proportional to 203,652.56, 281,333.68 and 162,764.33

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Solution

The fourth proportional to 203,652.56, 281,333.68 and 162,764.33 is: 224,849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,652.56 : 281,333.68 = 162,764.33 : x
  2. Step 2: Convert to fraction form
    203,652.56/281,333.68 = 162,764.33/x
  3. Step 3: Cross multiply
    203,652.56x = 281,333.68 × 162,764.33
  4. Step 4: Simplify right side
    203,652.56x = 45,791,086,118.06
  5. Step 5: Solve for x
    x = 45,791,086,118.06/203,652.56
  6. Step 6: Final answer
    x = 224,849.05

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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.