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Finding the Fourth Proportional to 203,791, 281,257.50 and 114,367

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Solution

The fourth proportional to 203,791, 281,257.50 and 114,367 is: 157,841.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,791 : 281,257.50 = 114,367 : x
  2. Step 2: Convert to fraction form
    203,791/281,257.50 = 114,367/x
  3. Step 3: Cross multiply
    203,791x = 281,257.50 × 114,367
  4. Step 4: Simplify right side
    203,791x = 32,166,576,502.50
  5. Step 5: Solve for x
    x = 32,166,576,502.50/203,791
  6. Step 6: Final answer
    x = 157,841.01

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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.