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Finding the Fourth Proportional to 180,601.40, 270,902.10 and 92,027.90

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Solution

The fourth proportional to 180,601.40, 270,902.10 and 92,027.90 is: 138,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,601.40 : 270,902.10 = 92,027.90 : x
  2. Step 2: Convert to fraction form
    180,601.40/270,902.10 = 92,027.90/x
  3. Step 3: Cross multiply
    180,601.40x = 270,902.10 × 92,027.90
  4. Step 4: Simplify right side
    180,601.40x = 24,930,551,368.59
  5. Step 5: Solve for x
    x = 24,930,551,368.59/180,601.40
  6. Step 6: Final answer
    x = 138,041.85

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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.