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Finding the Fourth Proportional to 154,591, 231,801.30 and 47,945.44

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Solution

The fourth proportional to 154,591, 231,801.30 and 47,945.44 is: 71,891.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,591 : 231,801.30 = 47,945.44 : x
  2. Step 2: Convert to fraction form
    154,591/231,801.30 = 47,945.44/x
  3. Step 3: Cross multiply
    154,591x = 231,801.30 × 47,945.44
  4. Step 4: Simplify right side
    154,591x = 11,113,815,321.07
  5. Step 5: Solve for x
    x = 11,113,815,321.07/154,591
  6. Step 6: Final answer
    x = 71,891.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.