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Finding the Fourth Proportional to 204,665.94, 282,439.47 and 118,641.54

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Solution

The fourth proportional to 204,665.94, 282,439.47 and 118,641.54 is: 163,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,665.94 : 282,439.47 = 118,641.54 : x
  2. Step 2: Convert to fraction form
    204,665.94/282,439.47 = 118,641.54/x
  3. Step 3: Cross multiply
    204,665.94x = 282,439.47 × 118,641.54
  4. Step 4: Simplify right side
    204,665.94x = 33,509,053,677.58
  5. Step 5: Solve for x
    x = 33,509,053,677.58/204,665.94
  6. Step 6: Final answer
    x = 163,725.60

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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.