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Finding the Fourth Proportional to 263,674.37, 363,848.70 and 154,766.94

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Solution

The fourth proportional to 263,674.37, 363,848.70 and 154,766.94 is: 213,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,674.37 : 363,848.70 = 154,766.94 : x
  2. Step 2: Convert to fraction form
    263,674.37/363,848.70 = 154,766.94/x
  3. Step 3: Cross multiply
    263,674.37x = 363,848.70 × 154,766.94
  4. Step 4: Simplify right side
    263,674.37x = 56,311,749,137.92
  5. Step 5: Solve for x
    x = 56,311,749,137.92/263,674.37
  6. Step 6: Final answer
    x = 213,565.50

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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.