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Finding the Fourth Proportional to 204,880.53, 282,720.69 and 114,232.62

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Solution

The fourth proportional to 204,880.53, 282,720.69 and 114,232.62 is: 157,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,880.53 : 282,720.69 = 114,232.62 : x
  2. Step 2: Convert to fraction form
    204,880.53/282,720.69 = 114,232.62/x
  3. Step 3: Cross multiply
    204,880.53x = 282,720.69 × 114,232.62
  4. Step 4: Simplify right side
    204,880.53x = 32,295,925,146.91
  5. Step 5: Solve for x
    x = 32,295,925,146.91/204,880.53
  6. Step 6: Final answer
    x = 157,632.96

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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.