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Finding the Fourth Proportional to 137,426.60, 206,139.90 and 106,284.20

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Solution

The fourth proportional to 137,426.60, 206,139.90 and 106,284.20 is: 159,426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,426.60 : 206,139.90 = 106,284.20 : x
  2. Step 2: Convert to fraction form
    137,426.60/206,139.90 = 106,284.20/x
  3. Step 3: Cross multiply
    137,426.60x = 206,139.90 × 106,284.20
  4. Step 4: Simplify right side
    137,426.60x = 21,909,414,359.58
  5. Step 5: Solve for x
    x = 21,909,414,359.58/137,426.60
  6. Step 6: Final answer
    x = 159,426.30

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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.