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Finding the Fourth Proportional to 202,694.67, 304,091.55 and 142,839.89

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Solution

The fourth proportional to 202,694.67, 304,091.55 and 142,839.89 is: 214,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,694.67 : 304,091.55 = 142,839.89 : x
  2. Step 2: Convert to fraction form
    202,694.67/304,091.55 = 142,839.89/x
  3. Step 3: Cross multiply
    202,694.67x = 304,091.55 × 142,839.89
  4. Step 4: Simplify right side
    202,694.67x = 43,436,403,551.93
  5. Step 5: Solve for x
    x = 43,436,403,551.93/202,694.67
  6. Step 6: Final answer
    x = 214,294.75

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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.