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Finding the Fourth Proportional to 204,890.57, 282,742 and 113,013.50

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Solution

The fourth proportional to 204,890.57, 282,742 and 113,013.50 is: 155,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,890.57 : 282,742 = 113,013.50 : x
  2. Step 2: Convert to fraction form
    204,890.57/282,742 = 113,013.50/x
  3. Step 3: Cross multiply
    204,890.57x = 282,742 × 113,013.50
  4. Step 4: Simplify right side
    204,890.57x = 31,953,663,017
  5. Step 5: Solve for x
    x = 31,953,663,017/204,890.57
  6. Step 6: Final answer
    x = 155,954.78

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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.