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Finding the Fourth Proportional to 201,346.62, 301,832.07 and 68,134.20

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Solution

The fourth proportional to 201,346.62, 301,832.07 and 68,134.20 is: 102,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,346.62 : 301,832.07 = 68,134.20 : x
  2. Step 2: Convert to fraction form
    201,346.62/301,832.07 = 68,134.20/x
  3. Step 3: Cross multiply
    201,346.62x = 301,832.07 × 68,134.20
  4. Step 4: Simplify right side
    201,346.62x = 20,565,086,623.79
  5. Step 5: Solve for x
    x = 20,565,086,623.79/201,346.62
  6. Step 6: Final answer
    x = 102,137.73

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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.