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Finding the Fourth Proportional to 204,966, 282,853.08 and 115,542

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Solution

The fourth proportional to 204,966, 282,853.08 and 115,542 is: 159,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,966 : 282,853.08 = 115,542 : x
  2. Step 2: Convert to fraction form
    204,966/282,853.08 = 115,542/x
  3. Step 3: Cross multiply
    204,966x = 282,853.08 × 115,542
  4. Step 4: Simplify right side
    204,966x = 32,681,410,569.36
  5. Step 5: Solve for x
    x = 32,681,410,569.36/204,966
  6. Step 6: Final answer
    x = 159,447.96

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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.