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Finding the Fourth Proportional to 200,524.52, 276,723.80 and 119,955.44

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Solution

The fourth proportional to 200,524.52, 276,723.80 and 119,955.44 is: 165,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,524.52 : 276,723.80 = 119,955.44 : x
  2. Step 2: Convert to fraction form
    200,524.52/276,723.80 = 119,955.44/x
  3. Step 3: Cross multiply
    200,524.52x = 276,723.80 × 119,955.44
  4. Step 4: Simplify right side
    200,524.52x = 33,194,525,187.47
  5. Step 5: Solve for x
    x = 33,194,525,187.47/200,524.52
  6. Step 6: Final answer
    x = 165,538.48

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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.