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Finding the Fourth Proportional to 263,858.40, 395,787.60 and 106,005.60

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Solution

The fourth proportional to 263,858.40, 395,787.60 and 106,005.60 is: 159,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,858.40 : 395,787.60 = 106,005.60 : x
  2. Step 2: Convert to fraction form
    263,858.40/395,787.60 = 106,005.60/x
  3. Step 3: Cross multiply
    263,858.40x = 395,787.60 × 106,005.60
  4. Step 4: Simplify right side
    263,858.40x = 41,955,702,010.56
  5. Step 5: Solve for x
    x = 41,955,702,010.56/263,858.40
  6. Step 6: Final answer
    x = 159,008.40

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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.