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Finding the Fourth Proportional to 280,589.67, 420,643.94 and 103,005.27

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Solution

The fourth proportional to 280,589.67, 420,643.94 and 103,005.27 is: 154,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,589.67 : 420,643.94 = 103,005.27 : x
  2. Step 2: Convert to fraction form
    280,589.67/420,643.94 = 103,005.27/x
  3. Step 3: Cross multiply
    280,589.67x = 420,643.94 × 103,005.27
  4. Step 4: Simplify right side
    280,589.67x = 43,328,542,098.54
  5. Step 5: Solve for x
    x = 43,328,542,098.54/280,589.67
  6. Step 6: Final answer
    x = 154,419.59

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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.