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Finding the Fourth Proportional to 232,676.60, 321,128.42 and 142,085.09

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Solution

The fourth proportional to 232,676.60, 321,128.42 and 142,085.09 is: 196,098.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,676.60 : 321,128.42 = 142,085.09 : x
  2. Step 2: Convert to fraction form
    232,676.60/321,128.42 = 142,085.09/x
  3. Step 3: Cross multiply
    232,676.60x = 321,128.42 × 142,085.09
  4. Step 4: Simplify right side
    232,676.60x = 45,627,558,141.19
  5. Step 5: Solve for x
    x = 45,627,558,141.19/232,676.60
  6. Step 6: Final answer
    x = 196,098.62

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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.