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Finding the Fourth Proportional to 209,410.95, 288,986.85 and 113,917.41

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Solution

The fourth proportional to 209,410.95, 288,986.85 and 113,917.41 is: 157,205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,410.95 : 288,986.85 = 113,917.41 : x
  2. Step 2: Convert to fraction form
    209,410.95/288,986.85 = 113,917.41/x
  3. Step 3: Cross multiply
    209,410.95x = 288,986.85 × 113,917.41
  4. Step 4: Simplify right side
    209,410.95x = 32,920,633,476.06
  5. Step 5: Solve for x
    x = 32,920,633,476.06/209,410.95
  6. Step 6: Final answer
    x = 157,205.88

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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.