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Finding the Fourth Proportional to 204,489.50, 306,762.20 and 71,350.21

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Solution

The fourth proportional to 204,489.50, 306,762.20 and 71,350.21 is: 107,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,489.50 : 306,762.20 = 71,350.21 : x
  2. Step 2: Convert to fraction form
    204,489.50/306,762.20 = 71,350.21/x
  3. Step 3: Cross multiply
    204,489.50x = 306,762.20 × 71,350.21
  4. Step 4: Simplify right side
    204,489.50x = 21,887,547,390.06
  5. Step 5: Solve for x
    x = 21,887,547,390.06/204,489.50
  6. Step 6: Final answer
    x = 107,035.07

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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.