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Finding the Fourth Proportional to 208,855.11, 288,220.34 and 113,361.83

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Solution

The fourth proportional to 208,855.11, 288,220.34 and 113,361.83 is: 156,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,855.11 : 288,220.34 = 113,361.83 : x
  2. Step 2: Convert to fraction form
    208,855.11/288,220.34 = 113,361.83/x
  3. Step 3: Cross multiply
    208,855.11x = 288,220.34 × 113,361.83
  4. Step 4: Simplify right side
    208,855.11x = 32,673,184,027.93
  5. Step 5: Solve for x
    x = 32,673,184,027.93/208,855.11
  6. Step 6: Final answer
    x = 156,439.48

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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.