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Finding the Fourth Proportional to 208,745.57, 288,069.40 and 113,252.24

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Solution

The fourth proportional to 208,745.57, 288,069.40 and 113,252.24 is: 156,288.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,745.57 : 288,069.40 = 113,252.24 : x
  2. Step 2: Convert to fraction form
    208,745.57/288,069.40 = 113,252.24/x
  3. Step 3: Cross multiply
    208,745.57x = 288,069.40 × 113,252.24
  4. Step 4: Simplify right side
    208,745.57x = 32,624,505,108.59
  5. Step 5: Solve for x
    x = 32,624,505,108.59/208,745.57
  6. Step 6: Final answer
    x = 156,288.37

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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.