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Finding the Fourth Proportional to 204,634.81, 282,358.56 and 113,988.52

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Solution

The fourth proportional to 204,634.81, 282,358.56 and 113,988.52 is: 157,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,634.81 : 282,358.56 = 113,988.52 : x
  2. Step 2: Convert to fraction form
    204,634.81/282,358.56 = 113,988.52/x
  3. Step 3: Cross multiply
    204,634.81x = 282,358.56 × 113,988.52
  4. Step 4: Simplify right side
    204,634.81x = 32,185,632,914.68
  5. Step 5: Solve for x
    x = 32,185,632,914.68/204,634.81
  6. Step 6: Final answer
    x = 157,283.28

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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.