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Finding the Fourth Proportional to 232,114.80, 320,375.41 and 141,520.73

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Solution

The fourth proportional to 232,114.80, 320,375.41 and 141,520.73 is: 195,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,114.80 : 320,375.41 = 141,520.73 : x
  2. Step 2: Convert to fraction form
    232,114.80/320,375.41 = 141,520.73/x
  3. Step 3: Cross multiply
    232,114.80x = 320,375.41 × 141,520.73
  4. Step 4: Simplify right side
    232,114.80x = 45,339,761,897.25
  5. Step 5: Solve for x
    x = 45,339,761,897.25/232,114.80
  6. Step 6: Final answer
    x = 195,333.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.