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Finding the Fourth Proportional to 182,806.71, 252,272.40 and 102,234.56

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Solution

The fourth proportional to 182,806.71, 252,272.40 and 102,234.56 is: 141,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,806.71 : 252,272.40 = 102,234.56 : x
  2. Step 2: Convert to fraction form
    182,806.71/252,272.40 = 102,234.56/x
  3. Step 3: Cross multiply
    182,806.71x = 252,272.40 × 102,234.56
  4. Step 4: Simplify right side
    182,806.71x = 25,790,957,204.73
  5. Step 5: Solve for x
    x = 25,790,957,204.73/182,806.71
  6. Step 6: Final answer
    x = 141,083.21

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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.