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Finding the Fourth Proportional to 137,970.24, 206,850.39 and 71,367.96

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Solution

The fourth proportional to 137,970.24, 206,850.39 and 71,367.96 is: 106,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,970.24 : 206,850.39 = 71,367.96 : x
  2. Step 2: Convert to fraction form
    137,970.24/206,850.39 = 71,367.96/x
  3. Step 3: Cross multiply
    137,970.24x = 206,850.39 × 71,367.96
  4. Step 4: Simplify right side
    137,970.24x = 14,762,490,359.50
  5. Step 5: Solve for x
    x = 14,762,490,359.50/137,970.24
  6. Step 6: Final answer
    x = 106,997.64

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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.