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Finding the Fourth Proportional to 203,290, 280,540.20 and 123,802

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Solution

The fourth proportional to 203,290, 280,540.20 and 123,802 is: 170,846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,290 : 280,540.20 = 123,802 : x
  2. Step 2: Convert to fraction form
    203,290/280,540.20 = 123,802/x
  3. Step 3: Cross multiply
    203,290x = 280,540.20 × 123,802
  4. Step 4: Simplify right side
    203,290x = 34,731,437,840.40
  5. Step 5: Solve for x
    x = 34,731,437,840.40/203,290
  6. Step 6: Final answer
    x = 170,846.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.