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Finding the Fourth Proportional to 204,546, 282,299.40 and 115,139.28

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Solution

The fourth proportional to 204,546, 282,299.40 and 115,139.28 is: 158,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,546 : 282,299.40 = 115,139.28 : x
  2. Step 2: Convert to fraction form
    204,546/282,299.40 = 115,139.28/x
  3. Step 3: Cross multiply
    204,546x = 282,299.40 × 115,139.28
  4. Step 4: Simplify right side
    204,546x = 32,503,749,660.43
  5. Step 5: Solve for x
    x = 32,503,749,660.43/204,546
  6. Step 6: Final answer
    x = 158,906.80

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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.