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Finding the Fourth Proportional to 214,136.52, 295,374.69 and 137,755.32

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Solution

The fourth proportional to 214,136.52, 295,374.69 and 137,755.32 is: 190,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,136.52 : 295,374.69 = 137,755.32 : x
  2. Step 2: Convert to fraction form
    214,136.52/295,374.69 = 137,755.32/x
  3. Step 3: Cross multiply
    214,136.52x = 295,374.69 × 137,755.32
  4. Step 4: Simplify right side
    214,136.52x = 40,689,434,940.85
  5. Step 5: Solve for x
    x = 40,689,434,940.85/214,136.52
  6. Step 6: Final answer
    x = 190,016.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.