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Finding the Fourth Proportional to 281,245.14, 422,159.31 and 188,399.70

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Solution

The fourth proportional to 281,245.14, 422,159.31 and 188,399.70 is: 282,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,245.14 : 422,159.31 = 188,399.70 : x
  2. Step 2: Convert to fraction form
    281,245.14/422,159.31 = 188,399.70/x
  3. Step 3: Cross multiply
    281,245.14x = 422,159.31 × 188,399.70
  4. Step 4: Simplify right side
    281,245.14x = 79,534,687,356.21
  5. Step 5: Solve for x
    x = 79,534,687,356.21/281,245.14
  6. Step 6: Final answer
    x = 282,794.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.