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Finding the Fourth Proportional to 269,858.74, 404,717.43 and 80,268.13

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Solution

The fourth proportional to 269,858.74, 404,717.43 and 80,268.13 is: 120,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,858.74 : 404,717.43 = 80,268.13 : x
  2. Step 2: Convert to fraction form
    269,858.74/404,717.43 = 80,268.13/x
  3. Step 3: Cross multiply
    269,858.74x = 404,717.43 × 80,268.13
  4. Step 4: Simplify right side
    269,858.74x = 32,485,911,284.51
  5. Step 5: Solve for x
    x = 32,485,911,284.51/269,858.74
  6. Step 6: Final answer
    x = 120,381.17

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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.