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Finding the Fourth Proportional to 203,351.42, 280,634.42 and 112,709.38

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Solution

The fourth proportional to 203,351.42, 280,634.42 and 112,709.38 is: 155,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,351.42 : 280,634.42 = 112,709.38 : x
  2. Step 2: Convert to fraction form
    203,351.42/280,634.42 = 112,709.38/x
  3. Step 3: Cross multiply
    203,351.42x = 280,634.42 × 112,709.38
  4. Step 4: Simplify right side
    203,351.42x = 31,630,130,219.73
  5. Step 5: Solve for x
    x = 31,630,130,219.73/203,351.42
  6. Step 6: Final answer
    x = 155,544.19

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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.