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Finding the Fourth Proportional to 232,481.98, 320,835.76 and 129,116.58

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Solution

The fourth proportional to 232,481.98, 320,835.76 and 129,116.58 is: 178,186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,481.98 : 320,835.76 = 129,116.58 : x
  2. Step 2: Convert to fraction form
    232,481.98/320,835.76 = 129,116.58/x
  3. Step 3: Cross multiply
    232,481.98x = 320,835.76 × 129,116.58
  4. Step 4: Simplify right side
    232,481.98x = 41,425,216,108.21
  5. Step 5: Solve for x
    x = 41,425,216,108.21/232,481.98
  6. Step 6: Final answer
    x = 178,186.78

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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.