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Finding the Fourth Proportional to 203,281.44, 280,520.82 and 117,244.02

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Solution

The fourth proportional to 203,281.44, 280,520.82 and 117,244.02 is: 161,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,281.44 : 280,520.82 = 117,244.02 : x
  2. Step 2: Convert to fraction form
    203,281.44/280,520.82 = 117,244.02/x
  3. Step 3: Cross multiply
    203,281.44x = 280,520.82 × 117,244.02
  4. Step 4: Simplify right side
    203,281.44x = 32,889,388,630.50
  5. Step 5: Solve for x
    x = 32,889,388,630.50/203,281.44
  6. Step 6: Final answer
    x = 161,792.38

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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.