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Finding the Fourth Proportional to 192,874.40, 289,311.60 and 68,199.20

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Solution

The fourth proportional to 192,874.40, 289,311.60 and 68,199.20 is: 102,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,874.40 : 289,311.60 = 68,199.20 : x
  2. Step 2: Convert to fraction form
    192,874.40/289,311.60 = 68,199.20/x
  3. Step 3: Cross multiply
    192,874.40x = 289,311.60 × 68,199.20
  4. Step 4: Simplify right side
    192,874.40x = 19,730,819,670.72
  5. Step 5: Solve for x
    x = 19,730,819,670.72/192,874.40
  6. Step 6: Final answer
    x = 102,298.80

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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.