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Finding the Fourth Proportional to 202,791.11, 304,229.50 and 76,428.68

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Solution

The fourth proportional to 202,791.11, 304,229.50 and 76,428.68 is: 114,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,791.11 : 304,229.50 = 76,428.68 : x
  2. Step 2: Convert to fraction form
    202,791.11/304,229.50 = 76,428.68/x
  3. Step 3: Cross multiply
    202,791.11x = 304,229.50 × 76,428.68
  4. Step 4: Simplify right side
    202,791.11x = 23,251,859,102.06
  5. Step 5: Solve for x
    x = 23,251,859,102.06/202,791.11
  6. Step 6: Final answer
    x = 114,659.16

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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.