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Finding the Fourth Proportional to 232,977, 321,508.62 and 132,394.44

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Solution

The fourth proportional to 232,977, 321,508.62 and 132,394.44 is: 182,704.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,977 : 321,508.62 = 132,394.44 : x
  2. Step 2: Convert to fraction form
    232,977/321,508.62 = 132,394.44/x
  3. Step 3: Cross multiply
    232,977x = 321,508.62 × 132,394.44
  4. Step 4: Simplify right side
    232,977x = 42,565,953,700.07
  5. Step 5: Solve for x
    x = 42,565,953,700.07/232,977
  6. Step 6: Final answer
    x = 182,704.53

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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.