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Finding the Fourth Proportional to 203,114.24, 280,294.22 and 112,468.26

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Solution

The fourth proportional to 203,114.24, 280,294.22 and 112,468.26 is: 155,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,114.24 : 280,294.22 = 112,468.26 : x
  2. Step 2: Convert to fraction form
    203,114.24/280,294.22 = 112,468.26/x
  3. Step 3: Cross multiply
    203,114.24x = 280,294.22 × 112,468.26
  4. Step 4: Simplify right side
    203,114.24x = 31,524,203,211.46
  5. Step 5: Solve for x
    x = 31,524,203,211.46/203,114.24
  6. Step 6: Final answer
    x = 155,204.30

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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.