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Finding the Fourth Proportional to 204,755.42, 282,525 and 114,109.22

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Solution

The fourth proportional to 204,755.42, 282,525 and 114,109.22 is: 157,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,755.42 : 282,525 = 114,109.22 : x
  2. Step 2: Convert to fraction form
    204,755.42/282,525 = 114,109.22/x
  3. Step 3: Cross multiply
    204,755.42x = 282,525 × 114,109.22
  4. Step 4: Simplify right side
    204,755.42x = 32,238,707,380.50
  5. Step 5: Solve for x
    x = 32,238,707,380.50/204,755.42
  6. Step 6: Final answer
    x = 157,449.84

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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.