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Finding the Fourth Proportional to 137,746.20, 206,619.30 and 120,250.20

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Solution

The fourth proportional to 137,746.20, 206,619.30 and 120,250.20 is: 180,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,746.20 : 206,619.30 = 120,250.20 : x
  2. Step 2: Convert to fraction form
    137,746.20/206,619.30 = 120,250.20/x
  3. Step 3: Cross multiply
    137,746.20x = 206,619.30 × 120,250.20
  4. Step 4: Simplify right side
    137,746.20x = 24,846,012,148.86
  5. Step 5: Solve for x
    x = 24,846,012,148.86/137,746.20
  6. Step 6: Final answer
    x = 180,375.30

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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.