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Finding the Fourth Proportional to 182,678.81, 252,079.44 and 102,104.49

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Solution

The fourth proportional to 182,678.81, 252,079.44 and 102,104.49 is: 140,894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,678.81 : 252,079.44 = 102,104.49 : x
  2. Step 2: Convert to fraction form
    182,678.81/252,079.44 = 102,104.49/x
  3. Step 3: Cross multiply
    182,678.81x = 252,079.44 × 102,104.49
  4. Step 4: Simplify right side
    182,678.81x = 25,738,442,660.69
  5. Step 5: Solve for x
    x = 25,738,442,660.69/182,678.81
  6. Step 6: Final answer
    x = 140,894.51

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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.