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Finding the Fourth Proportional to 262,814.60, 394,124.70 and 85,327.40

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Solution

The fourth proportional to 262,814.60, 394,124.70 and 85,327.40 is: 127,959.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,814.60 : 394,124.70 = 85,327.40 : x
  2. Step 2: Convert to fraction form
    262,814.60/394,124.70 = 85,327.40/x
  3. Step 3: Cross multiply
    262,814.60x = 394,124.70 × 85,327.40
  4. Step 4: Simplify right side
    262,814.60x = 33,629,635,926.78
  5. Step 5: Solve for x
    x = 33,629,635,926.78/262,814.60
  6. Step 6: Final answer
    x = 127,959.54

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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.