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Finding the Fourth Proportional to 120,405.49, 180,451.22 and 67,095.23

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Solution

The fourth proportional to 120,405.49, 180,451.22 and 67,095.23 is: 100,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,405.49 : 180,451.22 = 67,095.23 : x
  2. Step 2: Convert to fraction form
    120,405.49/180,451.22 = 67,095.23/x
  3. Step 3: Cross multiply
    120,405.49x = 180,451.22 × 67,095.23
  4. Step 4: Simplify right side
    120,405.49x = 12,107,414,871.95
  5. Step 5: Solve for x
    x = 12,107,414,871.95/120,405.49
  6. Step 6: Final answer
    x = 100,555.34

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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.