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Finding the Fourth Proportional to 185,200, 278,169.03 and 174,755.26

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Solution

The fourth proportional to 185,200, 278,169.03 and 174,755.26 is: 262,481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,200 : 278,169.03 = 174,755.26 : x
  2. Step 2: Convert to fraction form
    185,200/278,169.03 = 174,755.26/x
  3. Step 3: Cross multiply
    185,200x = 278,169.03 × 174,755.26
  4. Step 4: Simplify right side
    185,200x = 48,611,501,161.60
  5. Step 5: Solve for x
    x = 48,611,501,161.60/185,200
  6. Step 6: Final answer
    x = 262,481.11

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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.