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Finding the Fourth Proportional to 200,251.38, 276,319.50 and 119,661.84

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Solution

The fourth proportional to 200,251.38, 276,319.50 and 119,661.84 is: 165,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,251.38 : 276,319.50 = 119,661.84 : x
  2. Step 2: Convert to fraction form
    200,251.38/276,319.50 = 119,661.84/x
  3. Step 3: Cross multiply
    200,251.38x = 276,319.50 × 119,661.84
  4. Step 4: Simplify right side
    200,251.38x = 33,064,899,797.88
  5. Step 5: Solve for x
    x = 33,064,899,797.88/200,251.38
  6. Step 6: Final answer
    x = 165,116.96

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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.