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Finding the Fourth Proportional to 206,729.67, 285,365.88 and 201,041.61

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Solution

The fourth proportional to 206,729.67, 285,365.88 and 201,041.61 is: 277,514.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,729.67 : 285,365.88 = 201,041.61 : x
  2. Step 2: Convert to fraction form
    206,729.67/285,365.88 = 201,041.61/x
  3. Step 3: Cross multiply
    206,729.67x = 285,365.88 × 201,041.61
  4. Step 4: Simplify right side
    206,729.67x = 57,370,415,954.27
  5. Step 5: Solve for x
    x = 57,370,415,954.27/206,729.67
  6. Step 6: Final answer
    x = 277,514.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.