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Finding the Fourth Proportional to 205,342.90, 283,650.56 and 154,738.15

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Solution

The fourth proportional to 205,342.90, 283,650.56 and 154,738.15 is: 213,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,342.90 : 283,650.56 = 154,738.15 : x
  2. Step 2: Convert to fraction form
    205,342.90/283,650.56 = 154,738.15/x
  3. Step 3: Cross multiply
    205,342.90x = 283,650.56 × 154,738.15
  4. Step 4: Simplify right side
    205,342.90x = 43,891,561,998.31
  5. Step 5: Solve for x
    x = 43,891,561,998.31/205,342.90
  6. Step 6: Final answer
    x = 213,747.65

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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.