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Finding the Fourth Proportional to 280,107.10, 420,160.65 and 80,409.70

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Solution

The fourth proportional to 280,107.10, 420,160.65 and 80,409.70 is: 120,614.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,107.10 : 420,160.65 = 80,409.70 : x
  2. Step 2: Convert to fraction form
    280,107.10/420,160.65 = 80,409.70/x
  3. Step 3: Cross multiply
    280,107.10x = 420,160.65 × 80,409.70
  4. Step 4: Simplify right side
    280,107.10x = 33,784,991,818.31
  5. Step 5: Solve for x
    x = 33,784,991,818.31/280,107.10
  6. Step 6: Final answer
    x = 120,614.55

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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.