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Finding the Fourth Proportional to 204,557.62, 282,144.10 and 136,540.30

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Solution

The fourth proportional to 204,557.62, 282,144.10 and 136,540.30 is: 188,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,557.62 : 282,144.10 = 136,540.30 : x
  2. Step 2: Convert to fraction form
    204,557.62/282,144.10 = 136,540.30/x
  3. Step 3: Cross multiply
    204,557.62x = 282,144.10 × 136,540.30
  4. Step 4: Simplify right side
    204,557.62x = 38,524,037,963.81
  5. Step 5: Solve for x
    x = 38,524,037,963.81/204,557.62
  6. Step 6: Final answer
    x = 188,328.54

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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.