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Finding the Fourth Proportional to 213,285.70, 294,348.30 and 117,793.96

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Solution

The fourth proportional to 213,285.70, 294,348.30 and 117,793.96 is: 162,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,285.70 : 294,348.30 = 117,793.96 : x
  2. Step 2: Convert to fraction form
    213,285.70/294,348.30 = 117,793.96/x
  3. Step 3: Cross multiply
    213,285.70x = 294,348.30 × 117,793.96
  4. Step 4: Simplify right side
    213,285.70x = 34,672,451,876.27
  5. Step 5: Solve for x
    x = 34,672,451,876.27/213,285.70
  6. Step 6: Final answer
    x = 162,563.42

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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.