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Finding the Fourth Proportional to 255,893.63, 384,173.06 and 196,770.81

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Solution

The fourth proportional to 255,893.63, 384,173.06 and 196,770.81 is: 295,411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,893.63 : 384,173.06 = 196,770.81 : x
  2. Step 2: Convert to fraction form
    255,893.63/384,173.06 = 196,770.81/x
  3. Step 3: Cross multiply
    255,893.63x = 384,173.06 × 196,770.81
  4. Step 4: Simplify right side
    255,893.63x = 75,594,043,212.52
  5. Step 5: Solve for x
    x = 75,594,043,212.52/255,893.63
  6. Step 6: Final answer
    x = 295,411.97

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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.