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Finding the Fourth Proportional to 205,539.88, 283,653.30 and 119,498.44

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Solution

The fourth proportional to 205,539.88, 283,653.30 and 119,498.44 is: 164,912.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,539.88 : 283,653.30 = 119,498.44 : x
  2. Step 2: Convert to fraction form
    205,539.88/283,653.30 = 119,498.44/x
  3. Step 3: Cross multiply
    205,539.88x = 283,653.30 × 119,498.44
  4. Step 4: Simplify right side
    205,539.88x = 33,896,126,850.85
  5. Step 5: Solve for x
    x = 33,896,126,850.85/205,539.88
  6. Step 6: Final answer
    x = 164,912.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.