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Finding the Fourth Proportional to 202,961.89, 304,419.43 and 53,214.07

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Solution

The fourth proportional to 202,961.89, 304,419.43 and 53,214.07 is: 79,814.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,961.89 : 304,419.43 = 53,214.07 : x
  2. Step 2: Convert to fraction form
    202,961.89/304,419.43 = 53,214.07/x
  3. Step 3: Cross multiply
    202,961.89x = 304,419.43 × 53,214.07
  4. Step 4: Simplify right side
    202,961.89x = 16,199,396,857.38
  5. Step 5: Solve for x
    x = 16,199,396,857.38/202,961.89
  6. Step 6: Final answer
    x = 79,814.97

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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.