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Finding the Fourth Proportional to 208,291.31, 287,441.44 and 112,797.98

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Solution

The fourth proportional to 208,291.31, 287,441.44 and 112,797.98 is: 155,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,291.31 : 287,441.44 = 112,797.98 : x
  2. Step 2: Convert to fraction form
    208,291.31/287,441.44 = 112,797.98/x
  3. Step 3: Cross multiply
    208,291.31x = 287,441.44 × 112,797.98
  4. Step 4: Simplify right side
    208,291.31x = 32,422,813,236.30
  5. Step 5: Solve for x
    x = 32,422,813,236.30/208,291.31
  6. Step 6: Final answer
    x = 155,660.90

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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.