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Finding the Fourth Proportional to 234,001.92, 322,894.85 and 132,021.42

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Solution

The fourth proportional to 234,001.92, 322,894.85 and 132,021.42 is: 182,173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,001.92 : 322,894.85 = 132,021.42 : x
  2. Step 2: Convert to fraction form
    234,001.92/322,894.85 = 132,021.42/x
  3. Step 3: Cross multiply
    234,001.92x = 322,894.85 × 132,021.42
  4. Step 4: Simplify right side
    234,001.92x = 42,629,035,947.58
  5. Step 5: Solve for x
    x = 42,629,035,947.58/234,001.92
  6. Step 6: Final answer
    x = 182,173.87

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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.