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Finding the Fourth Proportional to 269,897.28, 404,846.40 and 82,907.52

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Solution

The fourth proportional to 269,897.28, 404,846.40 and 82,907.52 is: 124,361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,897.28 : 404,846.40 = 82,907.52 : x
  2. Step 2: Convert to fraction form
    269,897.28/404,846.40 = 82,907.52/x
  3. Step 3: Cross multiply
    269,897.28x = 404,846.40 × 82,907.52
  4. Step 4: Simplify right side
    269,897.28x = 33,564,811,004.93
  5. Step 5: Solve for x
    x = 33,564,811,004.93/269,897.28
  6. Step 6: Final answer
    x = 124,361.43

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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.