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Finding the Fourth Proportional to 287,813.76, 397,185.57 and 158,757.23

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Solution

The fourth proportional to 287,813.76, 397,185.57 and 158,757.23 is: 219,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,813.76 : 397,185.57 = 158,757.23 : x
  2. Step 2: Convert to fraction form
    287,813.76/397,185.57 = 158,757.23/x
  3. Step 3: Cross multiply
    287,813.76x = 397,185.57 × 158,757.23
  4. Step 4: Simplify right side
    287,813.76x = 63,056,078,903.24
  5. Step 5: Solve for x
    x = 63,056,078,903.24/287,813.76
  6. Step 6: Final answer
    x = 219,086.39

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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.