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Finding the Fourth Proportional to 159,597.50, 239,431.23 and 47,286.54

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Solution

The fourth proportional to 159,597.50, 239,431.23 and 47,286.54 is: 70,940.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,597.50 : 239,431.23 = 47,286.54 : x
  2. Step 2: Convert to fraction form
    159,597.50/239,431.23 = 47,286.54/x
  3. Step 3: Cross multiply
    159,597.50x = 239,431.23 × 47,286.54
  4. Step 4: Simplify right side
    159,597.50x = 11,321,874,434.64
  5. Step 5: Solve for x
    x = 11,321,874,434.64/159,597.50
  6. Step 6: Final answer
    x = 70,940.18

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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.