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Finding the Fourth Proportional to 204,735.52, 282,438.48 and 119,800.48

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Solution

The fourth proportional to 204,735.52, 282,438.48 and 119,800.48 is: 165,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,735.52 : 282,438.48 = 119,800.48 : x
  2. Step 2: Convert to fraction form
    204,735.52/282,438.48 = 119,800.48/x
  3. Step 3: Cross multiply
    204,735.52x = 282,438.48 × 119,800.48
  4. Step 4: Simplify right side
    204,735.52x = 33,836,265,474.47
  5. Step 5: Solve for x
    x = 33,836,265,474.47/204,735.52
  6. Step 6: Final answer
    x = 165,268.17

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Why These Related Problems?

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