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Finding the Fourth Proportional to 200,589.84, 276,805.44 and 119,969.76

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Solution

The fourth proportional to 200,589.84, 276,805.44 and 119,969.76 is: 165,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,589.84 : 276,805.44 = 119,969.76 : x
  2. Step 2: Convert to fraction form
    200,589.84/276,805.44 = 119,969.76/x
  3. Step 3: Cross multiply
    200,589.84x = 276,805.44 × 119,969.76
  4. Step 4: Simplify right side
    200,589.84x = 33,208,282,203.49
  5. Step 5: Solve for x
    x = 33,208,282,203.49/200,589.84
  6. Step 6: Final answer
    x = 165,553.16

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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.