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Finding the Fourth Proportional to 208,289.57, 287,439.03 and 112,796.24

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Solution

The fourth proportional to 208,289.57, 287,439.03 and 112,796.24 is: 155,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,289.57 : 287,439.03 = 112,796.24 : x
  2. Step 2: Convert to fraction form
    208,289.57/287,439.03 = 112,796.24/x
  3. Step 3: Cross multiply
    208,289.57x = 287,439.03 × 112,796.24
  4. Step 4: Simplify right side
    208,289.57x = 32,422,040,376.05
  5. Step 5: Solve for x
    x = 32,422,040,376.05/208,289.57
  6. Step 6: Final answer
    x = 155,658.50

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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.