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Finding the Fourth Proportional to 200,727.90, 301,091.85 and 82,359.90

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Solution

The fourth proportional to 200,727.90, 301,091.85 and 82,359.90 is: 123,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,727.90 : 301,091.85 = 82,359.90 : x
  2. Step 2: Convert to fraction form
    200,727.90/301,091.85 = 82,359.90/x
  3. Step 3: Cross multiply
    200,727.90x = 301,091.85 × 82,359.90
  4. Step 4: Simplify right side
    200,727.90x = 24,797,894,656.82
  5. Step 5: Solve for x
    x = 24,797,894,656.82/200,727.90
  6. Step 6: Final answer
    x = 123,539.85

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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.