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Finding the Fourth Proportional to 280,150.85, 419,976.57 and 102,616.30

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Solution

The fourth proportional to 280,150.85, 419,976.57 and 102,616.30 is: 153,832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,150.85 : 419,976.57 = 102,616.30 : x
  2. Step 2: Convert to fraction form
    280,150.85/419,976.57 = 102,616.30/x
  3. Step 3: Cross multiply
    280,150.85x = 419,976.57 × 102,616.30
  4. Step 4: Simplify right side
    280,150.85x = 43,096,439,600.21
  5. Step 5: Solve for x
    x = 43,096,439,600.21/280,150.85
  6. Step 6: Final answer
    x = 153,832.98

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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.