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Finding the Fourth Proportional to 208,874.46, 288,249.75 and 113,381.34

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Solution

The fourth proportional to 208,874.46, 288,249.75 and 113,381.34 is: 156,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,874.46 : 288,249.75 = 113,381.34 : x
  2. Step 2: Convert to fraction form
    208,874.46/288,249.75 = 113,381.34/x
  3. Step 3: Cross multiply
    208,874.46x = 288,249.75 × 113,381.34
  4. Step 4: Simplify right side
    208,874.46x = 32,682,142,909.67
  5. Step 5: Solve for x
    x = 32,682,142,909.67/208,874.46
  6. Step 6: Final answer
    x = 156,467.88

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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.