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Finding the Fourth Proportional to 280,542.20, 420,351.60 and 162,006.80

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Solution

The fourth proportional to 280,542.20, 420,351.60 and 162,006.80 is: 242,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,542.20 : 420,351.60 = 162,006.80 : x
  2. Step 2: Convert to fraction form
    280,542.20/420,351.60 = 162,006.80/x
  3. Step 3: Cross multiply
    280,542.20x = 420,351.60 × 162,006.80
  4. Step 4: Simplify right side
    280,542.20x = 68,099,817,590.88
  5. Step 5: Solve for x
    x = 68,099,817,590.88/280,542.20
  6. Step 6: Final answer
    x = 242,743.58

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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.