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Finding the Fourth Proportional to 203,277.64, 280,519.38 and 112,633.24

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Solution

The fourth proportional to 203,277.64, 280,519.38 and 112,633.24 is: 155,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,277.64 : 280,519.38 = 112,633.24 : x
  2. Step 2: Convert to fraction form
    203,277.64/280,519.38 = 112,633.24/x
  3. Step 3: Cross multiply
    203,277.64x = 280,519.38 × 112,633.24
  4. Step 4: Simplify right side
    203,277.64x = 31,595,806,652.19
  5. Step 5: Solve for x
    x = 31,595,806,652.19/203,277.64
  6. Step 6: Final answer
    x = 155,431.79

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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.