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Finding the Fourth Proportional to 204,778.84, 282,571.44 and 118,719.88

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Solution

The fourth proportional to 204,778.84, 282,571.44 and 118,719.88 is: 163,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,778.84 : 282,571.44 = 118,719.88 : x
  2. Step 2: Convert to fraction form
    204,778.84/282,571.44 = 118,719.88/x
  3. Step 3: Cross multiply
    204,778.84x = 282,571.44 × 118,719.88
  4. Step 4: Simplify right side
    204,778.84x = 33,546,847,298.30
  5. Step 5: Solve for x
    x = 33,546,847,298.30/204,778.84
  6. Step 6: Final answer
    x = 163,819.89

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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.