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Finding the Fourth Proportional to 203,474.80, 305,092.32 and 83,495.98

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Solution

The fourth proportional to 203,474.80, 305,092.32 and 83,495.98 is: 125,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,474.80 : 305,092.32 = 83,495.98 : x
  2. Step 2: Convert to fraction form
    203,474.80/305,092.32 = 83,495.98/x
  3. Step 3: Cross multiply
    203,474.80x = 305,092.32 × 83,495.98
  4. Step 4: Simplify right side
    203,474.80x = 25,473,982,248.87
  5. Step 5: Solve for x
    x = 25,473,982,248.87/203,474.80
  6. Step 6: Final answer
    x = 125,194.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.