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Finding the Fourth Proportional to 222,628.48, 334,073.76 and 82,484.80

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Solution

The fourth proportional to 222,628.48, 334,073.76 and 82,484.80 is: 123,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,628.48 : 334,073.76 = 82,484.80 : x
  2. Step 2: Convert to fraction form
    222,628.48/334,073.76 = 82,484.80/x
  3. Step 3: Cross multiply
    222,628.48x = 334,073.76 × 82,484.80
  4. Step 4: Simplify right side
    222,628.48x = 27,556,007,278.85
  5. Step 5: Solve for x
    x = 27,556,007,278.85/222,628.48
  6. Step 6: Final answer
    x = 123,775.75

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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.