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Finding the Fourth Proportional to 203,701, 281,111.70 and 114,277

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Solution

The fourth proportional to 203,701, 281,111.70 and 114,277 is: 157,704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,701 : 281,111.70 = 114,277 : x
  2. Step 2: Convert to fraction form
    203,701/281,111.70 = 114,277/x
  3. Step 3: Cross multiply
    203,701x = 281,111.70 × 114,277
  4. Step 4: Simplify right side
    203,701x = 32,124,601,740.90
  5. Step 5: Solve for x
    x = 32,124,601,740.90/203,701
  6. Step 6: Final answer
    x = 157,704.68

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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.