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Finding the Fourth Proportional to 137,618.40, 206,233.20 and 96,016.80

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Solution

The fourth proportional to 137,618.40, 206,233.20 and 96,016.80 is: 143,889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,618.40 : 206,233.20 = 96,016.80 : x
  2. Step 2: Convert to fraction form
    137,618.40/206,233.20 = 96,016.80/x
  3. Step 3: Cross multiply
    137,618.40x = 206,233.20 × 96,016.80
  4. Step 4: Simplify right side
    137,618.40x = 19,801,851,917.76
  5. Step 5: Solve for x
    x = 19,801,851,917.76/137,618.40
  6. Step 6: Final answer
    x = 143,889.57

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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.