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Finding the Fourth Proportional to 209,379.32, 288,949.40 and 113,892.12

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Solution

The fourth proportional to 209,379.32, 288,949.40 and 113,892.12 is: 157,174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,379.32 : 288,949.40 = 113,892.12 : x
  2. Step 2: Convert to fraction form
    209,379.32/288,949.40 = 113,892.12/x
  3. Step 3: Cross multiply
    209,379.32x = 288,949.40 × 113,892.12
  4. Step 4: Simplify right side
    209,379.32x = 32,909,059,738.73
  5. Step 5: Solve for x
    x = 32,909,059,738.73/209,379.32
  6. Step 6: Final answer
    x = 157,174.36

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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.