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Finding the Fourth Proportional to 202,609.52, 303,902.76 and 54,854

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Solution

The fourth proportional to 202,609.52, 303,902.76 and 54,854 is: 82,277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,609.52 : 303,902.76 = 54,854 : x
  2. Step 2: Convert to fraction form
    202,609.52/303,902.76 = 54,854/x
  3. Step 3: Cross multiply
    202,609.52x = 303,902.76 × 54,854
  4. Step 4: Simplify right side
    202,609.52x = 16,670,281,997.04
  5. Step 5: Solve for x
    x = 16,670,281,997.04/202,609.52
  6. Step 6: Final answer
    x = 82,277.88

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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.