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Finding the Fourth Proportional to 203,090.07, 280,273.05 and 112,446.05

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Solution

The fourth proportional to 203,090.07, 280,273.05 and 112,446.05 is: 155,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,090.07 : 280,273.05 = 112,446.05 : x
  2. Step 2: Convert to fraction form
    203,090.07/280,273.05 = 112,446.05/x
  3. Step 3: Cross multiply
    203,090.07x = 280,273.05 × 112,446.05
  4. Step 4: Simplify right side
    203,090.07x = 31,515,595,992.59
  5. Step 5: Solve for x
    x = 31,515,595,992.59/203,090.07
  6. Step 6: Final answer
    x = 155,180.39

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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.