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Finding the Fourth Proportional to 269,826.80, 404,999.40 and 136,857.20

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Solution

The fourth proportional to 269,826.80, 404,999.40 and 136,857.20 is: 205,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,826.80 : 404,999.40 = 136,857.20 : x
  2. Step 2: Convert to fraction form
    269,826.80/404,999.40 = 136,857.20/x
  3. Step 3: Cross multiply
    269,826.80x = 404,999.40 × 136,857.20
  4. Step 4: Simplify right side
    269,826.80x = 55,427,083,885.68
  5. Step 5: Solve for x
    x = 55,427,083,885.68/269,826.80
  6. Step 6: Final answer
    x = 205,417.27

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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.