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Finding the Fourth Proportional to 209,314.12, 288,858.96 and 113,826.40

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Solution

The fourth proportional to 209,314.12, 288,858.96 and 113,826.40 is: 157,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,314.12 : 288,858.96 = 113,826.40 : x
  2. Step 2: Convert to fraction form
    209,314.12/288,858.96 = 113,826.40/x
  3. Step 3: Cross multiply
    209,314.12x = 288,858.96 × 113,826.40
  4. Step 4: Simplify right side
    209,314.12x = 32,879,775,524.54
  5. Step 5: Solve for x
    x = 32,879,775,524.54/209,314.12
  6. Step 6: Final answer
    x = 157,083.41

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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.