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Finding the Fourth Proportional to 222,367.86, 306,913.98 and 204,434.46

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Solution

The fourth proportional to 222,367.86, 306,913.98 and 204,434.46 is: 282,162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,367.86 : 306,913.98 = 204,434.46 : x
  2. Step 2: Convert to fraction form
    222,367.86/306,913.98 = 204,434.46/x
  3. Step 3: Cross multiply
    222,367.86x = 306,913.98 × 204,434.46
  4. Step 4: Simplify right side
    222,367.86x = 62,743,793,767.75
  5. Step 5: Solve for x
    x = 62,743,793,767.75/222,367.86
  6. Step 6: Final answer
    x = 282,162.15

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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.