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Finding the Fourth Proportional to 227,512.36, 341,311.74 and 102,853

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Solution

The fourth proportional to 227,512.36, 341,311.74 and 102,853 is: 154,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,512.36 : 341,311.74 = 102,853 : x
  2. Step 2: Convert to fraction form
    227,512.36/341,311.74 = 102,853/x
  3. Step 3: Cross multiply
    227,512.36x = 341,311.74 × 102,853
  4. Step 4: Simplify right side
    227,512.36x = 35,104,936,394.22
  5. Step 5: Solve for x
    x = 35,104,936,394.22/227,512.36
  6. Step 6: Final answer
    x = 154,299.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.