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Finding the Fourth Proportional to 222,120, 333,214.68 and 72,324.96

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Solution

The fourth proportional to 222,120, 333,214.68 and 72,324.96 is: 108,498.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,120 : 333,214.68 = 72,324.96 : x
  2. Step 2: Convert to fraction form
    222,120/333,214.68 = 72,324.96/x
  3. Step 3: Cross multiply
    222,120x = 333,214.68 × 72,324.96
  4. Step 4: Simplify right side
    222,120x = 24,099,738,402.41
  5. Step 5: Solve for x
    x = 24,099,738,402.41/222,120
  6. Step 6: Final answer
    x = 108,498.73

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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.