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Finding the Fourth Proportional to 187,791.98, 281,698.23 and 47,551.82

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Solution

The fourth proportional to 187,791.98, 281,698.23 and 47,551.82 is: 71,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,791.98 : 281,698.23 = 47,551.82 : x
  2. Step 2: Convert to fraction form
    187,791.98/281,698.23 = 47,551.82/x
  3. Step 3: Cross multiply
    187,791.98x = 281,698.23 × 47,551.82
  4. Step 4: Simplify right side
    187,791.98x = 13,395,263,527.28
  5. Step 5: Solve for x
    x = 13,395,263,527.28/187,791.98
  6. Step 6: Final answer
    x = 71,330.33

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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.