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Finding the Fourth Proportional to 287,546.18, 396,813.74 and 166,757.52

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Solution

The fourth proportional to 287,546.18, 396,813.74 and 166,757.52 is: 230,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,546.18 : 396,813.74 = 166,757.52 : x
  2. Step 2: Convert to fraction form
    287,546.18/396,813.74 = 166,757.52/x
  3. Step 3: Cross multiply
    287,546.18x = 396,813.74 × 166,757.52
  4. Step 4: Simplify right side
    287,546.18x = 66,171,675,838.59
  5. Step 5: Solve for x
    x = 66,171,675,838.59/287,546.18
  6. Step 6: Final answer
    x = 230,125.39

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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.