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Finding the Fourth Proportional to 203,994, 281,538.12 and 114,570

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Solution

The fourth proportional to 203,994, 281,538.12 and 114,570 is: 158,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,994 : 281,538.12 = 114,570 : x
  2. Step 2: Convert to fraction form
    203,994/281,538.12 = 114,570/x
  3. Step 3: Cross multiply
    203,994x = 281,538.12 × 114,570
  4. Step 4: Simplify right side
    203,994x = 32,255,822,408.40
  5. Step 5: Solve for x
    x = 32,255,822,408.40/203,994
  6. Step 6: Final answer
    x = 158,121.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.