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Finding the Fourth Proportional to 209,408.31, 288,986.94 and 113,915.52

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Solution

The fourth proportional to 209,408.31, 288,986.94 and 113,915.52 is: 157,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,408.31 : 288,986.94 = 113,915.52 : x
  2. Step 2: Convert to fraction form
    209,408.31/288,986.94 = 113,915.52/x
  3. Step 3: Cross multiply
    209,408.31x = 288,986.94 × 113,915.52
  4. Step 4: Simplify right side
    209,408.31x = 32,920,097,543.31
  5. Step 5: Solve for x
    x = 32,920,097,543.31/209,408.31
  6. Step 6: Final answer
    x = 157,205.31

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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.