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Finding the Fourth Proportional to 269,252.64, 403,951.68 and 82,259.04

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Solution

The fourth proportional to 269,252.64, 403,951.68 and 82,259.04 is: 123,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,252.64 : 403,951.68 = 82,259.04 : x
  2. Step 2: Convert to fraction form
    269,252.64/403,951.68 = 82,259.04/x
  3. Step 3: Cross multiply
    269,252.64x = 403,951.68 × 82,259.04
  4. Step 4: Simplify right side
    269,252.64x = 33,228,677,403.19
  5. Step 5: Solve for x
    x = 33,228,677,403.19/269,252.64
  6. Step 6: Final answer
    x = 123,410.78

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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.