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Finding the Fourth Proportional to 199,245, 274,956.32 and 108,600.96

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Solution

The fourth proportional to 199,245, 274,956.32 and 108,600.96 is: 149,868.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,245 : 274,956.32 = 108,600.96 : x
  2. Step 2: Convert to fraction form
    199,245/274,956.32 = 108,600.96/x
  3. Step 3: Cross multiply
    199,245x = 274,956.32 × 108,600.96
  4. Step 4: Simplify right side
    199,245x = 29,860,520,310.07
  5. Step 5: Solve for x
    x = 29,860,520,310.07/199,245
  6. Step 6: Final answer
    x = 149,868.35

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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.