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Finding the Fourth Proportional to 242,266.98, 363,433.70 and 82,299.96

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Solution

The fourth proportional to 242,266.98, 363,433.70 and 82,299.96 is: 123,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,266.98 : 363,433.70 = 82,299.96 : x
  2. Step 2: Convert to fraction form
    242,266.98/363,433.70 = 82,299.96/x
  3. Step 3: Cross multiply
    242,266.98x = 363,433.70 × 82,299.96
  4. Step 4: Simplify right side
    242,266.98x = 29,910,579,178.40
  5. Step 5: Solve for x
    x = 29,910,579,178.40/242,266.98
  6. Step 6: Final answer
    x = 123,461.23

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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.