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Finding the Fourth Proportional to 233,858.31, 322,716.60 and 147,863.58

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Solution

The fourth proportional to 233,858.31, 322,716.60 and 147,863.58 is: 204,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,858.31 : 322,716.60 = 147,863.58 : x
  2. Step 2: Convert to fraction form
    233,858.31/322,716.60 = 147,863.58/x
  3. Step 3: Cross multiply
    233,858.31x = 322,716.60 × 147,863.58
  4. Step 4: Simplify right side
    233,858.31x = 47,718,030,591.24
  5. Step 5: Solve for x
    x = 47,718,030,591.24/233,858.31
  6. Step 6: Final answer
    x = 204,046.76

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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.