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Finding the Fourth Proportional to 213,914.88, 295,236.90 and 162,846

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Solution

The fourth proportional to 213,914.88, 295,236.90 and 162,846 is: 224,753.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,914.88 : 295,236.90 = 162,846 : x
  2. Step 2: Convert to fraction form
    213,914.88/295,236.90 = 162,846/x
  3. Step 3: Cross multiply
    213,914.88x = 295,236.90 × 162,846
  4. Step 4: Simplify right side
    213,914.88x = 48,078,148,217.40
  5. Step 5: Solve for x
    x = 48,078,148,217.40/213,914.88
  6. Step 6: Final answer
    x = 224,753.64

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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.