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Finding the Fourth Proportional to 158,799, 238,198.50 and 47,991

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Solution

The fourth proportional to 158,799, 238,198.50 and 47,991 is: 71,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,799 : 238,198.50 = 47,991 : x
  2. Step 2: Convert to fraction form
    158,799/238,198.50 = 47,991/x
  3. Step 3: Cross multiply
    158,799x = 238,198.50 × 47,991
  4. Step 4: Simplify right side
    158,799x = 11,431,384,213.50
  5. Step 5: Solve for x
    x = 11,431,384,213.50/158,799
  6. Step 6: Final answer
    x = 71,986.50

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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.