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Finding the Fourth Proportional to 262,826.40, 394,023.60 and 113,181.60

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Solution

The fourth proportional to 262,826.40, 394,023.60 and 113,181.60 is: 169,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,826.40 : 394,023.60 = 113,181.60 : x
  2. Step 2: Convert to fraction form
    262,826.40/394,023.60 = 113,181.60/x
  3. Step 3: Cross multiply
    262,826.40x = 394,023.60 × 113,181.60
  4. Step 4: Simplify right side
    262,826.40x = 44,596,221,485.76
  5. Step 5: Solve for x
    x = 44,596,221,485.76/262,826.40
  6. Step 6: Final answer
    x = 169,679.38

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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.