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Finding the Fourth Proportional to 200,524.25, 276,723.47 and 119,955.17

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Solution

The fourth proportional to 200,524.25, 276,723.47 and 119,955.17 is: 165,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,524.25 : 276,723.47 = 119,955.17 : x
  2. Step 2: Convert to fraction form
    200,524.25/276,723.47 = 119,955.17/x
  3. Step 3: Cross multiply
    200,524.25x = 276,723.47 × 119,955.17
  4. Step 4: Simplify right side
    200,524.25x = 33,194,410,886.84
  5. Step 5: Solve for x
    x = 33,194,410,886.84/200,524.25
  6. Step 6: Final answer
    x = 165,538.14

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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.