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Finding the Fourth Proportional to 202,996.45, 304,472.80 and 53,251.75

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Solution

The fourth proportional to 202,996.45, 304,472.80 and 53,251.75 is: 79,871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,996.45 : 304,472.80 = 53,251.75 : x
  2. Step 2: Convert to fraction form
    202,996.45/304,472.80 = 53,251.75/x
  3. Step 3: Cross multiply
    202,996.45x = 304,472.80 × 53,251.75
  4. Step 4: Simplify right side
    202,996.45x = 16,213,709,427.40
  5. Step 5: Solve for x
    x = 16,213,709,427.40/202,996.45
  6. Step 6: Final answer
    x = 79,871.89

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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.