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Finding the Fourth Proportional to 234,205.63, 323,174.41 and 132,218.53

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Solution

The fourth proportional to 234,205.63, 323,174.41 and 132,218.53 is: 182,444.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,205.63 : 323,174.41 = 132,218.53 : x
  2. Step 2: Convert to fraction form
    234,205.63/323,174.41 = 132,218.53/x
  3. Step 3: Cross multiply
    234,205.63x = 323,174.41 × 132,218.53
  4. Step 4: Simplify right side
    234,205.63x = 42,729,644,285.34
  5. Step 5: Solve for x
    x = 42,729,644,285.34/234,205.63
  6. Step 6: Final answer
    x = 182,444.99

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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.