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Finding the Fourth Proportional to 204,880.96, 282,715.02 and 114,228.40

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Solution

The fourth proportional to 204,880.96, 282,715.02 and 114,228.40 is: 157,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,880.96 : 282,715.02 = 114,228.40 : x
  2. Step 2: Convert to fraction form
    204,880.96/282,715.02 = 114,228.40/x
  3. Step 3: Cross multiply
    204,880.96x = 282,715.02 × 114,228.40
  4. Step 4: Simplify right side
    204,880.96x = 32,294,084,390.57
  5. Step 5: Solve for x
    x = 32,294,084,390.57/204,880.96
  6. Step 6: Final answer
    x = 157,623.65

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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.