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Finding the Fourth Proportional to 182,632.98, 252,033.12 and 102,060.51

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Solution

The fourth proportional to 182,632.98, 252,033.12 and 102,060.51 is: 140,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,632.98 : 252,033.12 = 102,060.51 : x
  2. Step 2: Convert to fraction form
    182,632.98/252,033.12 = 102,060.51/x
  3. Step 3: Cross multiply
    182,632.98x = 252,033.12 × 102,060.51
  4. Step 4: Simplify right side
    182,632.98x = 25,722,628,764.09
  5. Step 5: Solve for x
    x = 25,722,628,764.09/182,632.98
  6. Step 6: Final answer
    x = 140,843.28

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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.