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Finding the Fourth Proportional to 281,584.32, 422,288.13 and 92,001.49

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Solution

The fourth proportional to 281,584.32, 422,288.13 and 92,001.49 is: 137,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,584.32 : 422,288.13 = 92,001.49 : x
  2. Step 2: Convert to fraction form
    281,584.32/422,288.13 = 92,001.49/x
  3. Step 3: Cross multiply
    281,584.32x = 422,288.13 × 92,001.49
  4. Step 4: Simplify right side
    281,584.32x = 38,851,137,169.31
  5. Step 5: Solve for x
    x = 38,851,137,169.31/281,584.32
  6. Step 6: Final answer
    x = 137,973.37

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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.