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Finding the Fourth Proportional to 222,008.58, 306,135.26 and 178,942.80

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Solution

The fourth proportional to 222,008.58, 306,135.26 and 178,942.80 is: 246,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,008.58 : 306,135.26 = 178,942.80 : x
  2. Step 2: Convert to fraction form
    222,008.58/306,135.26 = 178,942.80/x
  3. Step 3: Cross multiply
    222,008.58x = 306,135.26 × 178,942.80
  4. Step 4: Simplify right side
    222,008.58x = 54,780,700,603.13
  5. Step 5: Solve for x
    x = 54,780,700,603.13/222,008.58
  6. Step 6: Final answer
    x = 246,750.38

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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.