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Finding the Fourth Proportional to 280,296.45, 420,194.70 and 102,762.09

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Solution

The fourth proportional to 280,296.45, 420,194.70 and 102,762.09 is: 154,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,296.45 : 420,194.70 = 102,762.09 : x
  2. Step 2: Convert to fraction form
    280,296.45/420,194.70 = 102,762.09/x
  3. Step 3: Cross multiply
    280,296.45x = 420,194.70 × 102,762.09
  4. Step 4: Simplify right side
    280,296.45x = 43,180,085,578.92
  5. Step 5: Solve for x
    x = 43,180,085,578.92/280,296.45
  6. Step 6: Final answer
    x = 154,051.49

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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.