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Finding the Fourth Proportional to 138,652.38, 207,431.36 and 105,015.32

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Solution

The fourth proportional to 138,652.38, 207,431.36 and 105,015.32 is: 157,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,652.38 : 207,431.36 = 105,015.32 : x
  2. Step 2: Convert to fraction form
    138,652.38/207,431.36 = 105,015.32/x
  3. Step 3: Cross multiply
    138,652.38x = 207,431.36 × 105,015.32
  4. Step 4: Simplify right side
    138,652.38x = 21,783,469,086.20
  5. Step 5: Solve for x
    x = 21,783,469,086.20/138,652.38
  6. Step 6: Final answer
    x = 157,108.51

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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.