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Finding the Fourth Proportional to 203,085.38, 280,257.06 and 112,435.90

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Solution

The fourth proportional to 203,085.38, 280,257.06 and 112,435.90 is: 155,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,085.38 : 280,257.06 = 112,435.90 : x
  2. Step 2: Convert to fraction form
    203,085.38/280,257.06 = 112,435.90/x
  3. Step 3: Cross multiply
    203,085.38x = 280,257.06 × 112,435.90
  4. Step 4: Simplify right side
    203,085.38x = 31,510,954,493.45
  5. Step 5: Solve for x
    x = 31,510,954,493.45/203,085.38
  6. Step 6: Final answer
    x = 155,161.12

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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.