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Finding the Fourth Proportional to 159,770.22, 239,622.53 and 75,494.58

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Solution

The fourth proportional to 159,770.22, 239,622.53 and 75,494.58 is: 113,226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,770.22 : 239,622.53 = 75,494.58 : x
  2. Step 2: Convert to fraction form
    159,770.22/239,622.53 = 75,494.58/x
  3. Step 3: Cross multiply
    159,770.22x = 239,622.53 × 75,494.58
  4. Step 4: Simplify right side
    159,770.22x = 18,090,201,883.41
  5. Step 5: Solve for x
    x = 18,090,201,883.41/159,770.22
  6. Step 6: Final answer
    x = 113,226.37

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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.