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Finding the Fourth Proportional to 213,676.64, 320,427.48 and 95,267

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Solution

The fourth proportional to 213,676.64, 320,427.48 and 95,267 is: 142,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,676.64 : 320,427.48 = 95,267 : x
  2. Step 2: Convert to fraction form
    213,676.64/320,427.48 = 95,267/x
  3. Step 3: Cross multiply
    213,676.64x = 320,427.48 × 95,267
  4. Step 4: Simplify right side
    213,676.64x = 30,526,164,737.16
  5. Step 5: Solve for x
    x = 30,526,164,737.16/213,676.64
  6. Step 6: Final answer
    x = 142,861.50

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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.