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Finding the Fourth Proportional to 205,991.75, 284,244.69 and 119,969.53

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Solution

The fourth proportional to 205,991.75, 284,244.69 and 119,969.53 is: 165,544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,991.75 : 284,244.69 = 119,969.53 : x
  2. Step 2: Convert to fraction form
    205,991.75/284,244.69 = 119,969.53/x
  3. Step 3: Cross multiply
    205,991.75x = 284,244.69 × 119,969.53
  4. Step 4: Simplify right side
    205,991.75x = 34,100,700,443.07
  5. Step 5: Solve for x
    x = 34,100,700,443.07/205,991.75
  6. Step 6: Final answer
    x = 165,544.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.