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Finding the Fourth Proportional to 203,993, 281,536.74 and 114,569

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Solution

The fourth proportional to 203,993, 281,536.74 and 114,569 is: 158,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,993 : 281,536.74 = 114,569 : x
  2. Step 2: Convert to fraction form
    203,993/281,536.74 = 114,569/x
  3. Step 3: Cross multiply
    203,993x = 281,536.74 × 114,569
  4. Step 4: Simplify right side
    203,993x = 32,255,382,765.06
  5. Step 5: Solve for x
    x = 32,255,382,765.06/203,993
  6. Step 6: Final answer
    x = 158,120.05

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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.