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Finding the Fourth Proportional to 204,755.40, 282,558.12 and 114,119.64

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Solution

The fourth proportional to 204,755.40, 282,558.12 and 114,119.64 is: 157,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,755.40 : 282,558.12 = 114,119.64 : x
  2. Step 2: Convert to fraction form
    204,755.40/282,558.12 = 114,119.64/x
  3. Step 3: Cross multiply
    204,755.40x = 282,558.12 × 114,119.64
  4. Step 4: Simplify right side
    204,755.40x = 32,245,430,933.48
  5. Step 5: Solve for x
    x = 32,245,430,933.48/204,755.40
  6. Step 6: Final answer
    x = 157,482.69

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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.