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Finding the Fourth Proportional to 180,692.30, 271,286.72 and 92,005.40

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Solution

The fourth proportional to 180,692.30, 271,286.72 and 92,005.40 is: 138,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,692.30 : 271,286.72 = 92,005.40 : x
  2. Step 2: Convert to fraction form
    180,692.30/271,286.72 = 92,005.40/x
  3. Step 3: Cross multiply
    180,692.30x = 271,286.72 × 92,005.40
  4. Step 4: Simplify right side
    180,692.30x = 24,959,843,188.29
  5. Step 5: Solve for x
    x = 24,959,843,188.29/180,692.30
  6. Step 6: Final answer
    x = 138,134.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.