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Finding the Fourth Proportional to 204,474.72, 282,187.98 and 123,909.30

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Solution

The fourth proportional to 204,474.72, 282,187.98 and 123,909.30 is: 171,002.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,474.72 : 282,187.98 = 123,909.30 : x
  2. Step 2: Convert to fraction form
    204,474.72/282,187.98 = 123,909.30/x
  3. Step 3: Cross multiply
    204,474.72x = 282,187.98 × 123,909.30
  4. Step 4: Simplify right side
    204,474.72x = 34,965,715,070.21
  5. Step 5: Solve for x
    x = 34,965,715,070.21/204,474.72
  6. Step 6: Final answer
    x = 171,002.63

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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.