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Finding the Fourth Proportional to 203,074.80, 304,396.20 and 97,825.20

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Solution

The fourth proportional to 203,074.80, 304,396.20 and 97,825.20 is: 146,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,074.80 : 304,396.20 = 97,825.20 : x
  2. Step 2: Convert to fraction form
    203,074.80/304,396.20 = 97,825.20/x
  3. Step 3: Cross multiply
    203,074.80x = 304,396.20 × 97,825.20
  4. Step 4: Simplify right side
    203,074.80x = 29,777,619,144.24
  5. Step 5: Solve for x
    x = 29,777,619,144.24/203,074.80
  6. Step 6: Final answer
    x = 146,633.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.