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Finding the Fourth Proportional to 187,992, 281,995.68 and 47,754.24

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Solution

The fourth proportional to 187,992, 281,995.68 and 47,754.24 is: 71,633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,992 : 281,995.68 = 47,754.24 : x
  2. Step 2: Convert to fraction form
    187,992/281,995.68 = 47,754.24/x
  3. Step 3: Cross multiply
    187,992x = 281,995.68 × 47,754.24
  4. Step 4: Simplify right side
    187,992x = 13,466,489,381.68
  5. Step 5: Solve for x
    x = 13,466,489,381.68/187,992
  6. Step 6: Final answer
    x = 71,633.31

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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.