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Finding the Fourth Proportional to 204,494.88, 282,243.42 and 118,467.84

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Solution

The fourth proportional to 204,494.88, 282,243.42 and 118,467.84 is: 163,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,494.88 : 282,243.42 = 118,467.84 : x
  2. Step 2: Convert to fraction form
    204,494.88/282,243.42 = 118,467.84/x
  3. Step 3: Cross multiply
    204,494.88x = 282,243.42 × 118,467.84
  4. Step 4: Simplify right side
    204,494.88x = 33,436,768,321.61
  5. Step 5: Solve for x
    x = 33,436,768,321.61/204,494.88
  6. Step 6: Final answer
    x = 163,509.07

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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.