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Finding the Fourth Proportional to 222,702, 334,104.88 and 74,958

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Solution

The fourth proportional to 222,702, 334,104.88 and 74,958 is: 112,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,702 : 334,104.88 = 74,958 : x
  2. Step 2: Convert to fraction form
    222,702/334,104.88 = 74,958/x
  3. Step 3: Cross multiply
    222,702x = 334,104.88 × 74,958
  4. Step 4: Simplify right side
    222,702x = 25,043,833,595.04
  5. Step 5: Solve for x
    x = 25,043,833,595.04/222,702
  6. Step 6: Final answer
    x = 112,454.46

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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.