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Finding the Fourth Proportional to 203,538.40, 281,022 and 127,173.76

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Solution

The fourth proportional to 203,538.40, 281,022 and 127,173.76 is: 175,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,538.40 : 281,022 = 127,173.76 : x
  2. Step 2: Convert to fraction form
    203,538.40/281,022 = 127,173.76/x
  3. Step 3: Cross multiply
    203,538.40x = 281,022 × 127,173.76
  4. Step 4: Simplify right side
    203,538.40x = 35,738,624,382.72
  5. Step 5: Solve for x
    x = 35,738,624,382.72/203,538.40
  6. Step 6: Final answer
    x = 175,586.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.