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Finding the Fourth Proportional to 137,399.40, 206,108.70 and 54,282.60

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Solution

The fourth proportional to 137,399.40, 206,108.70 and 54,282.60 is: 81,427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,399.40 : 206,108.70 = 54,282.60 : x
  2. Step 2: Convert to fraction form
    137,399.40/206,108.70 = 54,282.60/x
  3. Step 3: Cross multiply
    137,399.40x = 206,108.70 × 54,282.60
  4. Step 4: Simplify right side
    137,399.40x = 11,188,116,118.62
  5. Step 5: Solve for x
    x = 11,188,116,118.62/137,399.40
  6. Step 6: Final answer
    x = 81,427.69

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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.