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Finding the Fourth Proportional to 222,651.76, 307,553.88 and 165,964.72

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Solution

The fourth proportional to 222,651.76, 307,553.88 and 165,964.72 is: 229,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,651.76 : 307,553.88 = 165,964.72 : x
  2. Step 2: Convert to fraction form
    222,651.76/307,553.88 = 165,964.72/x
  3. Step 3: Cross multiply
    222,651.76x = 307,553.88 × 165,964.72
  4. Step 4: Simplify right side
    222,651.76x = 51,043,093,579.11
  5. Step 5: Solve for x
    x = 51,043,093,579.11/222,651.76
  6. Step 6: Final answer
    x = 229,250.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.