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Finding the Fourth Proportional to 203,425.56, 280,647.18 and 126,900

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Solution

The fourth proportional to 203,425.56, 280,647.18 and 126,900 is: 175,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,425.56 : 280,647.18 = 126,900 : x
  2. Step 2: Convert to fraction form
    203,425.56/280,647.18 = 126,900/x
  3. Step 3: Cross multiply
    203,425.56x = 280,647.18 × 126,900
  4. Step 4: Simplify right side
    203,425.56x = 35,614,127,142
  5. Step 5: Solve for x
    x = 35,614,127,142/203,425.56
  6. Step 6: Final answer
    x = 175,072.04

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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.