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Finding the Fourth Proportional to 204,634.79, 282,391.76 and 113,990.63

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Solution

The fourth proportional to 204,634.79, 282,391.76 and 113,990.63 is: 157,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,634.79 : 282,391.76 = 113,990.63 : x
  2. Step 2: Convert to fraction form
    204,634.79/282,391.76 = 113,990.63/x
  3. Step 3: Cross multiply
    204,634.79x = 282,391.76 × 113,990.63
  4. Step 4: Simplify right side
    204,634.79x = 32,190,014,059.26
  5. Step 5: Solve for x
    x = 32,190,014,059.26/204,634.79
  6. Step 6: Final answer
    x = 157,304.70

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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.