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Finding the Fourth Proportional to 204,805.44, 282,499.62 and 135,893.40

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Solution

The fourth proportional to 204,805.44, 282,499.62 and 135,893.40 is: 187,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,805.44 : 282,499.62 = 135,893.40 : x
  2. Step 2: Convert to fraction form
    204,805.44/282,499.62 = 135,893.40/x
  3. Step 3: Cross multiply
    204,805.44x = 282,499.62 × 135,893.40
  4. Step 4: Simplify right side
    204,805.44x = 38,389,833,860.51
  5. Step 5: Solve for x
    x = 38,389,833,860.51/204,805.44
  6. Step 6: Final answer
    x = 187,445.38

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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.