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Finding the Fourth Proportional to 262,886.44, 394,395.26 and 75,897.94

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Solution

The fourth proportional to 262,886.44, 394,395.26 and 75,897.94 is: 113,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,886.44 : 394,395.26 = 75,897.94 : x
  2. Step 2: Convert to fraction form
    262,886.44/394,395.26 = 75,897.94/x
  3. Step 3: Cross multiply
    262,886.44x = 394,395.26 × 75,897.94
  4. Step 4: Simplify right side
    262,886.44x = 29,933,787,779.76
  5. Step 5: Solve for x
    x = 29,933,787,779.76/262,886.44
  6. Step 6: Final answer
    x = 113,865.85

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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.