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Finding the Fourth Proportional to 182,651.34, 252,053.94 and 102,079.50

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Solution

The fourth proportional to 182,651.34, 252,053.94 and 102,079.50 is: 140,866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,651.34 : 252,053.94 = 102,079.50 : x
  2. Step 2: Convert to fraction form
    182,651.34/252,053.94 = 102,079.50/x
  3. Step 3: Cross multiply
    182,651.34x = 252,053.94 × 102,079.50
  4. Step 4: Simplify right side
    182,651.34x = 25,729,540,168.23
  5. Step 5: Solve for x
    x = 25,729,540,168.23/182,651.34
  6. Step 6: Final answer
    x = 140,866.97

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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.