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Finding the Fourth Proportional to 222,536, 332,582.24 and 162,690.48

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Solution

The fourth proportional to 222,536, 332,582.24 and 162,690.48 is: 243,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,536 : 332,582.24 = 162,690.48 : x
  2. Step 2: Convert to fraction form
    222,536/332,582.24 = 162,690.48/x
  3. Step 3: Cross multiply
    222,536x = 332,582.24 × 162,690.48
  4. Step 4: Simplify right side
    222,536x = 54,107,964,265.08
  5. Step 5: Solve for x
    x = 54,107,964,265.08/222,536
  6. Step 6: Final answer
    x = 243,142.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.