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Finding the Fourth Proportional to 222,996, 334,494 and 75,252

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Solution

The fourth proportional to 222,996, 334,494 and 75,252 is: 112,878

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,996 : 334,494 = 75,252 : x
  2. Step 2: Convert to fraction form
    222,996/334,494 = 75,252/x
  3. Step 3: Cross multiply
    222,996x = 334,494 × 75,252
  4. Step 4: Simplify right side
    222,996x = 25,171,342,488
  5. Step 5: Solve for x
    x = 25,171,342,488/222,996
  6. Step 6: Final answer
    x = 112,878

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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.