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Finding the Fourth Proportional to 135,709.50, 203,356.66 and 72,538.61

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Solution

The fourth proportional to 135,709.50, 203,356.66 and 72,538.61 is: 108,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,709.50 : 203,356.66 = 72,538.61 : x
  2. Step 2: Convert to fraction form
    135,709.50/203,356.66 = 72,538.61/x
  3. Step 3: Cross multiply
    135,709.50x = 203,356.66 × 72,538.61
  4. Step 4: Simplify right side
    135,709.50x = 14,751,209,015.10
  5. Step 5: Solve for x
    x = 14,751,209,015.10/135,709.50
  6. Step 6: Final answer
    x = 108,696.96

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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.