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Finding the Fourth Proportional to 200,692.49, 276,964.11 and 114,665.63

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Solution

The fourth proportional to 200,692.49, 276,964.11 and 114,665.63 is: 158,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,692.49 : 276,964.11 = 114,665.63 : x
  2. Step 2: Convert to fraction form
    200,692.49/276,964.11 = 114,665.63/x
  3. Step 3: Cross multiply
    200,692.49x = 276,964.11 × 114,665.63
  4. Step 4: Simplify right side
    200,692.49x = 31,758,262,775.72
  5. Step 5: Solve for x
    x = 31,758,262,775.72/200,692.49
  6. Step 6: Final answer
    x = 158,243.41

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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.