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Finding the Fourth Proportional to 209,408.90, 288,986.49 and 113,915.84

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Solution

The fourth proportional to 209,408.90, 288,986.49 and 113,915.84 is: 157,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,408.90 : 288,986.49 = 113,915.84 : x
  2. Step 2: Convert to fraction form
    209,408.90/288,986.49 = 113,915.84/x
  3. Step 3: Cross multiply
    209,408.90x = 288,986.49 × 113,915.84
  4. Step 4: Simplify right side
    209,408.90x = 32,920,137,312.07
  5. Step 5: Solve for x
    x = 32,920,137,312.07/209,408.90
  6. Step 6: Final answer
    x = 157,205.06

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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.