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Finding the Fourth Proportional to 182,646.84, 251,986.22 and 106,162

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Solution

The fourth proportional to 182,646.84, 251,986.22 and 106,162 is: 146,464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,646.84 : 251,986.22 = 106,162 : x
  2. Step 2: Convert to fraction form
    182,646.84/251,986.22 = 106,162/x
  3. Step 3: Cross multiply
    182,646.84x = 251,986.22 × 106,162
  4. Step 4: Simplify right side
    182,646.84x = 26,751,361,087.64
  5. Step 5: Solve for x
    x = 26,751,361,087.64/182,646.84
  6. Step 6: Final answer
    x = 146,464.95

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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.