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Finding the Fourth Proportional to 204,884.84, 282,739.92 and 114,241.89

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Solution

The fourth proportional to 204,884.84, 282,739.92 and 114,241.89 is: 157,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,884.84 : 282,739.92 = 114,241.89 : x
  2. Step 2: Convert to fraction form
    204,884.84/282,739.92 = 114,241.89/x
  3. Step 3: Cross multiply
    204,884.84x = 282,739.92 × 114,241.89
  4. Step 4: Simplify right side
    204,884.84x = 32,300,743,471.12
  5. Step 5: Solve for x
    x = 32,300,743,471.12/204,884.84
  6. Step 6: Final answer
    x = 157,653.16

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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.