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Finding the Fourth Proportional to 204,556.26, 282,375 and 137,527.14

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Solution

The fourth proportional to 204,556.26, 282,375 and 137,527.14 is: 189,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,556.26 : 282,375 = 137,527.14 : x
  2. Step 2: Convert to fraction form
    204,556.26/282,375 = 137,527.14/x
  3. Step 3: Cross multiply
    204,556.26x = 282,375 × 137,527.14
  4. Step 4: Simplify right side
    204,556.26x = 38,834,226,157.50
  5. Step 5: Solve for x
    x = 38,834,226,157.50/204,556.26
  6. Step 6: Final answer
    x = 189,846.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.