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Finding the Fourth Proportional to 203,052.28, 280,208.79 and 112,406.38

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Solution

The fourth proportional to 203,052.28, 280,208.79 and 112,406.38 is: 155,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,052.28 : 280,208.79 = 112,406.38 : x
  2. Step 2: Convert to fraction form
    203,052.28/280,208.79 = 112,406.38/x
  3. Step 3: Cross multiply
    203,052.28x = 280,208.79 × 112,406.38
  4. Step 4: Simplify right side
    203,052.28x = 31,497,255,728.08
  5. Step 5: Solve for x
    x = 31,497,255,728.08/203,052.28
  6. Step 6: Final answer
    x = 155,118.95

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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.