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Finding the Fourth Proportional to 203,992, 281,535.36 and 114,568

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Solution

The fourth proportional to 203,992, 281,535.36 and 114,568 is: 158,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,992 : 281,535.36 = 114,568 : x
  2. Step 2: Convert to fraction form
    203,992/281,535.36 = 114,568/x
  3. Step 3: Cross multiply
    203,992x = 281,535.36 × 114,568
  4. Step 4: Simplify right side
    203,992x = 32,254,943,124.48
  5. Step 5: Solve for x
    x = 32,254,943,124.48/203,992
  6. Step 6: Final answer
    x = 158,118.67

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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.