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Finding the Fourth Proportional to 269,399.94, 403,982.79 and 77,232.06

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Solution

The fourth proportional to 269,399.94, 403,982.79 and 77,232.06 is: 115,814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,399.94 : 403,982.79 = 77,232.06 : x
  2. Step 2: Convert to fraction form
    269,399.94/403,982.79 = 77,232.06/x
  3. Step 3: Cross multiply
    269,399.94x = 403,982.79 × 77,232.06
  4. Step 4: Simplify right side
    269,399.94x = 31,200,423,076.25
  5. Step 5: Solve for x
    x = 31,200,423,076.25/269,399.94
  6. Step 6: Final answer
    x = 115,814.51

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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.