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Finding the Fourth Proportional to 204,548.50, 282,276.63 and 113,912.40

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Solution

The fourth proportional to 204,548.50, 282,276.63 and 113,912.40 is: 157,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,548.50 : 282,276.63 = 113,912.40 : x
  2. Step 2: Convert to fraction form
    204,548.50/282,276.63 = 113,912.40/x
  3. Step 3: Cross multiply
    204,548.50x = 282,276.63 × 113,912.40
  4. Step 4: Simplify right side
    204,548.50x = 32,154,808,387.21
  5. Step 5: Solve for x
    x = 32,154,808,387.21/204,548.50
  6. Step 6: Final answer
    x = 157,198.94

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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.