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Finding the Fourth Proportional to 222,700, 334,101.88 and 74,956

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Solution

The fourth proportional to 222,700, 334,101.88 and 74,956 is: 112,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,700 : 334,101.88 = 74,956 : x
  2. Step 2: Convert to fraction form
    222,700/334,101.88 = 74,956/x
  3. Step 3: Cross multiply
    222,700x = 334,101.88 × 74,956
  4. Step 4: Simplify right side
    222,700x = 25,042,940,517.28
  5. Step 5: Solve for x
    x = 25,042,940,517.28/222,700
  6. Step 6: Final answer
    x = 112,451.46

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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.