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Finding the Fourth Proportional to 103,156.56, 154,709.82 and 75,403.50

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Solution

The fourth proportional to 103,156.56, 154,709.82 and 75,403.50 is: 113,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,156.56 : 154,709.82 = 75,403.50 : x
  2. Step 2: Convert to fraction form
    103,156.56/154,709.82 = 75,403.50/x
  3. Step 3: Cross multiply
    103,156.56x = 154,709.82 × 75,403.50
  4. Step 4: Simplify right side
    103,156.56x = 11,665,661,912.37
  5. Step 5: Solve for x
    x = 11,665,661,912.37/103,156.56
  6. Step 6: Final answer
    x = 113,086.96

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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.