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Finding the Fourth Proportional to 182,993.88, 252,510.30 and 102,425.88

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Solution

The fourth proportional to 182,993.88, 252,510.30 and 102,425.88 is: 141,335.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,993.88 : 252,510.30 = 102,425.88 : x
  2. Step 2: Convert to fraction form
    182,993.88/252,510.30 = 102,425.88/x
  3. Step 3: Cross multiply
    182,993.88x = 252,510.30 × 102,425.88
  4. Step 4: Simplify right side
    182,993.88x = 25,863,589,686.56
  5. Step 5: Solve for x
    x = 25,863,589,686.56/182,993.88
  6. Step 6: Final answer
    x = 141,335.82

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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.