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Finding the Fourth Proportional to 222,684, 333,189 and 156,253.74

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Solution

The fourth proportional to 222,684, 333,189 and 156,253.74 is: 233,793.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,684 : 333,189 = 156,253.74 : x
  2. Step 2: Convert to fraction form
    222,684/333,189 = 156,253.74/x
  3. Step 3: Cross multiply
    222,684x = 333,189 × 156,253.74
  4. Step 4: Simplify right side
    222,684x = 52,062,027,376.86
  5. Step 5: Solve for x
    x = 52,062,027,376.86/222,684
  6. Step 6: Final answer
    x = 233,793.30

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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.