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Finding the Fourth Proportional to 187,851.81, 259,238.63 and 101,813.54

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Solution

The fourth proportional to 187,851.81, 259,238.63 and 101,813.54 is: 140,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,851.81 : 259,238.63 = 101,813.54 : x
  2. Step 2: Convert to fraction form
    187,851.81/259,238.63 = 101,813.54/x
  3. Step 3: Cross multiply
    187,851.81x = 259,238.63 × 101,813.54
  4. Step 4: Simplify right side
    187,851.81x = 26,394,003,527.68
  5. Step 5: Solve for x
    x = 26,394,003,527.68/187,851.81
  6. Step 6: Final answer
    x = 140,504.39

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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.