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Finding the Fourth Proportional to 203,114.23, 280,294.22 and 112,468.25

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Solution

The fourth proportional to 203,114.23, 280,294.22 and 112,468.25 is: 155,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,114.23 : 280,294.22 = 112,468.25 : x
  2. Step 2: Convert to fraction form
    203,114.23/280,294.22 = 112,468.25/x
  3. Step 3: Cross multiply
    203,114.23x = 280,294.22 × 112,468.25
  4. Step 4: Simplify right side
    203,114.23x = 31,524,200,408.52
  5. Step 5: Solve for x
    x = 31,524,200,408.52/203,114.23
  6. Step 6: Final answer
    x = 155,204.29

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