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Finding the Fourth Proportional to 202,561.80, 303,842.70 and 54,817.80

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Solution

The fourth proportional to 202,561.80, 303,842.70 and 54,817.80 is: 82,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,561.80 : 303,842.70 = 54,817.80 : x
  2. Step 2: Convert to fraction form
    202,561.80/303,842.70 = 54,817.80/x
  3. Step 3: Cross multiply
    202,561.80x = 303,842.70 × 54,817.80
  4. Step 4: Simplify right side
    202,561.80x = 16,655,988,360.06
  5. Step 5: Solve for x
    x = 16,655,988,360.06/202,561.80
  6. Step 6: Final answer
    x = 82,226.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.