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Finding the Fourth Proportional to 203,115.96, 280,277.33 and 112,449.24

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Solution

The fourth proportional to 203,115.96, 280,277.33 and 112,449.24 is: 155,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,115.96 : 280,277.33 = 112,449.24 : x
  2. Step 2: Convert to fraction form
    203,115.96/280,277.33 = 112,449.24/x
  3. Step 3: Cross multiply
    203,115.96x = 280,277.33 × 112,449.24
  4. Step 4: Simplify right side
    203,115.96x = 31,516,972,185.48
  5. Step 5: Solve for x
    x = 31,516,972,185.48/203,115.96
  6. Step 6: Final answer
    x = 155,167.38

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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.