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Finding the Fourth Proportional to 222,698, 334,098.88 and 74,954

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Solution

The fourth proportional to 222,698, 334,098.88 and 74,954 is: 112,448.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,698 : 334,098.88 = 74,954 : x
  2. Step 2: Convert to fraction form
    222,698/334,098.88 = 74,954/x
  3. Step 3: Cross multiply
    222,698x = 334,098.88 × 74,954
  4. Step 4: Simplify right side
    222,698x = 25,042,047,451.52
  5. Step 5: Solve for x
    x = 25,042,047,451.52/222,698
  6. Step 6: Final answer
    x = 112,448.46

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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.