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Finding the Fourth Proportional to 203,099.02, 280,278.87 and 112,456.63

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Solution

The fourth proportional to 203,099.02, 280,278.87 and 112,456.63 is: 155,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,099.02 : 280,278.87 = 112,456.63 : x
  2. Step 2: Convert to fraction form
    203,099.02/280,278.87 = 112,456.63/x
  3. Step 3: Cross multiply
    203,099.02x = 280,278.87 × 112,456.63
  4. Step 4: Simplify right side
    203,099.02x = 31,519,217,180.41
  5. Step 5: Solve for x
    x = 31,519,217,180.41/203,099.02
  6. Step 6: Final answer
    x = 155,191.38

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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.