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Finding the Fourth Proportional to 110,791.82, 152,839.28 and 72,534.44

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Solution

The fourth proportional to 110,791.82, 152,839.28 and 72,534.44 is: 100,062.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,791.82 : 152,839.28 = 72,534.44 : x
  2. Step 2: Convert to fraction form
    110,791.82/152,839.28 = 72,534.44/x
  3. Step 3: Cross multiply
    110,791.82x = 152,839.28 × 72,534.44
  4. Step 4: Simplify right side
    110,791.82x = 11,086,111,001.94
  5. Step 5: Solve for x
    x = 11,086,111,001.94/110,791.82
  6. Step 6: Final answer
    x = 100,062.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.