Home / 204,414.38-282,099.94-113,774.16

Finding the Fourth Proportional to 204,414.38, 282,099.94 and 113,774.16

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Solution

The fourth proportional to 204,414.38, 282,099.94 and 113,774.16 is: 157,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,414.38 : 282,099.94 = 113,774.16 : x
  2. Step 2: Convert to fraction form
    204,414.38/282,099.94 = 113,774.16/x
  3. Step 3: Cross multiply
    204,414.38x = 282,099.94 × 113,774.16
  4. Step 4: Simplify right side
    204,414.38x = 32,095,683,709.55
  5. Step 5: Solve for x
    x = 32,095,683,709.55/204,414.38
  6. Step 6: Final answer
    x = 157,012.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.