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Finding the Fourth Proportional to 204,371.60, 282,057.36 and 123,796.76

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Solution

The fourth proportional to 204,371.60, 282,057.36 and 123,796.76 is: 170,854.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,371.60 : 282,057.36 = 123,796.76 : x
  2. Step 2: Convert to fraction form
    204,371.60/282,057.36 = 123,796.76/x
  3. Step 3: Cross multiply
    204,371.60x = 282,057.36 × 123,796.76
  4. Step 4: Simplify right side
    204,371.60x = 34,917,787,302.15
  5. Step 5: Solve for x
    x = 34,917,787,302.15/204,371.60
  6. Step 6: Final answer
    x = 170,854.40

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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.