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Finding the Fourth Proportional to 205,732.96, 308,466 and 135,398.56

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Solution

The fourth proportional to 205,732.96, 308,466 and 135,398.56 is: 203,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,732.96 : 308,466 = 135,398.56 : x
  2. Step 2: Convert to fraction form
    205,732.96/308,466 = 135,398.56/x
  3. Step 3: Cross multiply
    205,732.96x = 308,466 × 135,398.56
  4. Step 4: Simplify right side
    205,732.96x = 41,765,852,208.96
  5. Step 5: Solve for x
    x = 41,765,852,208.96/205,732.96
  6. Step 6: Final answer
    x = 203,010.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.