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Finding the Fourth Proportional to 138,324.30, 207,486.45 and 85,180.20

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Solution

The fourth proportional to 138,324.30, 207,486.45 and 85,180.20 is: 127,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,324.30 : 207,486.45 = 85,180.20 : x
  2. Step 2: Convert to fraction form
    138,324.30/207,486.45 = 85,180.20/x
  3. Step 3: Cross multiply
    138,324.30x = 207,486.45 × 85,180.20
  4. Step 4: Simplify right side
    138,324.30x = 17,673,737,308.29
  5. Step 5: Solve for x
    x = 17,673,737,308.29/138,324.30
  6. Step 6: Final answer
    x = 127,770.30

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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.