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Finding the Fourth Proportional to 137,788.20, 206,682.30 and 120,292.20

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Solution

The fourth proportional to 137,788.20, 206,682.30 and 120,292.20 is: 180,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,788.20 : 206,682.30 = 120,292.20 : x
  2. Step 2: Convert to fraction form
    137,788.20/206,682.30 = 120,292.20/x
  3. Step 3: Cross multiply
    137,788.20x = 206,682.30 × 120,292.20
  4. Step 4: Simplify right side
    137,788.20x = 24,862,268,568.06
  5. Step 5: Solve for x
    x = 24,862,268,568.06/137,788.20
  6. Step 6: Final answer
    x = 180,438.30

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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.