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Finding the Fourth Proportional to 209,442.37, 289,027.29 and 113,946.88

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Solution

The fourth proportional to 209,442.37, 289,027.29 and 113,946.88 is: 157,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,442.37 : 289,027.29 = 113,946.88 : x
  2. Step 2: Convert to fraction form
    209,442.37/289,027.29 = 113,946.88/x
  3. Step 3: Cross multiply
    209,442.37x = 289,027.29 × 113,946.88
  4. Step 4: Simplify right side
    209,442.37x = 32,933,757,930.36
  5. Step 5: Solve for x
    x = 32,933,757,930.36/209,442.37
  6. Step 6: Final answer
    x = 157,244.96

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