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Finding the Fourth Proportional to 208,286.56, 287,435.69 and 112,793.37

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Solution

The fourth proportional to 208,286.56, 287,435.69 and 112,793.37 is: 155,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,286.56 : 287,435.69 = 112,793.37 : x
  2. Step 2: Convert to fraction form
    208,286.56/287,435.69 = 112,793.37/x
  3. Step 3: Cross multiply
    208,286.56x = 287,435.69 × 112,793.37
  4. Step 4: Simplify right side
    208,286.56x = 32,420,840,133.38
  5. Step 5: Solve for x
    x = 32,420,840,133.38/208,286.56
  6. Step 6: Final answer
    x = 155,654.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.