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Finding the Fourth Proportional to 200,692.74, 276,964.74 and 120,104.94

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Solution

The fourth proportional to 200,692.74, 276,964.74 and 120,104.94 is: 165,750.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,692.74 : 276,964.74 = 120,104.94 : x
  2. Step 2: Convert to fraction form
    200,692.74/276,964.74 = 120,104.94/x
  3. Step 3: Cross multiply
    200,692.74x = 276,964.74 × 120,104.94
  4. Step 4: Simplify right side
    200,692.74x = 33,264,833,479.82
  5. Step 5: Solve for x
    x = 33,264,833,479.82/200,692.74
  6. Step 6: Final answer
    x = 165,750.06

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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.