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Finding the Fourth Proportional to 200,682.38, 276,702.27 and 129,065.42

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Solution

The fourth proportional to 200,682.38, 276,702.27 and 129,065.42 is: 177,956.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,682.38 : 276,702.27 = 129,065.42 : x
  2. Step 2: Convert to fraction form
    200,682.38/276,702.27 = 129,065.42/x
  3. Step 3: Cross multiply
    200,682.38x = 276,702.27 × 129,065.42
  4. Step 4: Simplify right side
    200,682.38x = 35,712,694,692.50
  5. Step 5: Solve for x
    x = 35,712,694,692.50/200,682.38
  6. Step 6: Final answer
    x = 177,956.30

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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.