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Finding the Fourth Proportional to 204,787.58, 282,602.03 and 118,761.93

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Solution

The fourth proportional to 204,787.58, 282,602.03 and 118,761.93 is: 163,888.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,787.58 : 282,602.03 = 118,761.93 : x
  2. Step 2: Convert to fraction form
    204,787.58/282,602.03 = 118,761.93/x
  3. Step 3: Cross multiply
    204,787.58x = 282,602.03 × 118,761.93
  4. Step 4: Simplify right side
    204,787.58x = 33,562,361,910.91
  5. Step 5: Solve for x
    x = 33,562,361,910.91/204,787.58
  6. Step 6: Final answer
    x = 163,888.66

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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.