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Finding the Fourth Proportional to 200,502, 276,692.76 and 119,932.92

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Solution

The fourth proportional to 200,502, 276,692.76 and 119,932.92 is: 165,507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,502 : 276,692.76 = 119,932.92 : x
  2. Step 2: Convert to fraction form
    200,502/276,692.76 = 119,932.92/x
  3. Step 3: Cross multiply
    200,502x = 276,692.76 × 119,932.92
  4. Step 4: Simplify right side
    200,502x = 33,184,570,649.66
  5. Step 5: Solve for x
    x = 33,184,570,649.66/200,502
  6. Step 6: Final answer
    x = 165,507.43

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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.