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Finding the Fourth Proportional to 321,351.42, 482,081.80 and 110,940.14

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Solution

The fourth proportional to 321,351.42, 482,081.80 and 110,940.14 is: 166,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,351.42 : 482,081.80 = 110,940.14 : x
  2. Step 2: Convert to fraction form
    321,351.42/482,081.80 = 110,940.14/x
  3. Step 3: Cross multiply
    321,351.42x = 482,081.80 × 110,940.14
  4. Step 4: Simplify right side
    321,351.42x = 53,482,222,383.45
  5. Step 5: Solve for x
    x = 53,482,222,383.45/321,351.42
  6. Step 6: Final answer
    x = 166,429.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.