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Finding the Fourth Proportional to 281,138.02, 387,566.94 and 200,425.42

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Solution

The fourth proportional to 281,138.02, 387,566.94 and 200,425.42 is: 276,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,138.02 : 387,566.94 = 200,425.42 : x
  2. Step 2: Convert to fraction form
    281,138.02/387,566.94 = 200,425.42/x
  3. Step 3: Cross multiply
    281,138.02x = 387,566.94 × 200,425.42
  4. Step 4: Simplify right side
    281,138.02x = 77,678,267,843.97
  5. Step 5: Solve for x
    x = 77,678,267,843.97/281,138.02
  6. Step 6: Final answer
    x = 276,299.40

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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.