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Finding the Fourth Proportional to 202,282.75, 303,424.13 and 54,538.75

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Solution

The fourth proportional to 202,282.75, 303,424.13 and 54,538.75 is: 81,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,282.75 : 303,424.13 = 54,538.75 : x
  2. Step 2: Convert to fraction form
    202,282.75/303,424.13 = 54,538.75/x
  3. Step 3: Cross multiply
    202,282.75x = 303,424.13 × 54,538.75
  4. Step 4: Simplify right side
    202,282.75x = 16,548,372,770.04
  5. Step 5: Solve for x
    x = 16,548,372,770.04/202,282.75
  6. Step 6: Final answer
    x = 81,808.13

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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.