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Finding the Fourth Proportional to 208,855.24, 288,220.52 and 113,361.95

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Solution

The fourth proportional to 208,855.24, 288,220.52 and 113,361.95 is: 156,439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,855.24 : 288,220.52 = 113,361.95 : x
  2. Step 2: Convert to fraction form
    208,855.24/288,220.52 = 113,361.95/x
  3. Step 3: Cross multiply
    208,855.24x = 288,220.52 × 113,361.95
  4. Step 4: Simplify right side
    208,855.24x = 32,673,240,177.21
  5. Step 5: Solve for x
    x = 32,673,240,177.21/208,855.24
  6. Step 6: Final answer
    x = 156,439.65

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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.