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Finding the Fourth Proportional to 198,067.98, 296,347.44 and 174,185.94

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Solution

The fourth proportional to 198,067.98, 296,347.44 and 174,185.94 is: 260,615.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,067.98 : 296,347.44 = 174,185.94 : x
  2. Step 2: Convert to fraction form
    198,067.98/296,347.44 = 174,185.94/x
  3. Step 3: Cross multiply
    198,067.98x = 296,347.44 × 174,185.94
  4. Step 4: Simplify right side
    198,067.98x = 51,619,557,402.99
  5. Step 5: Solve for x
    x = 51,619,557,402.99/198,067.98
  6. Step 6: Final answer
    x = 260,615.36

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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.