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Finding the Fourth Proportional to 120,228.95, 180,338.30 and 31,480.49

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Solution

The fourth proportional to 120,228.95, 180,338.30 and 31,480.49 is: 47,219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,228.95 : 180,338.30 = 31,480.49 : x
  2. Step 2: Convert to fraction form
    120,228.95/180,338.30 = 31,480.49/x
  3. Step 3: Cross multiply
    120,228.95x = 180,338.30 × 31,480.49
  4. Step 4: Simplify right side
    120,228.95x = 5,677,138,049.77
  5. Step 5: Solve for x
    x = 5,677,138,049.77/120,228.95
  6. Step 6: Final answer
    x = 47,219.39

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