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Finding the Fourth Proportional to 160,788.26, 241,104.50 and 48,447.54

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Solution

The fourth proportional to 160,788.26, 241,104.50 and 48,447.54 is: 72,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,788.26 : 241,104.50 = 48,447.54 : x
  2. Step 2: Convert to fraction form
    160,788.26/241,104.50 = 48,447.54/x
  3. Step 3: Cross multiply
    160,788.26x = 241,104.50 × 48,447.54
  4. Step 4: Simplify right side
    160,788.26x = 11,680,919,847.37
  5. Step 5: Solve for x
    x = 11,680,919,847.37/160,788.26
  6. Step 6: Final answer
    x = 72,647.84

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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.