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Finding the Fourth Proportional to 213,183.96, 319,750.47 and 165,846.30

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Solution

The fourth proportional to 213,183.96, 319,750.47 and 165,846.30 is: 248,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,183.96 : 319,750.47 = 165,846.30 : x
  2. Step 2: Convert to fraction form
    213,183.96/319,750.47 = 165,846.30/x
  3. Step 3: Cross multiply
    213,183.96x = 319,750.47 × 165,846.30
  4. Step 4: Simplify right side
    213,183.96x = 53,029,432,372.76
  5. Step 5: Solve for x
    x = 53,029,432,372.76/213,183.96
  6. Step 6: Final answer
    x = 248,749.64

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1.5x scale

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.