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Finding the Fourth Proportional to 203,082.24, 304,820.20 and 97,975.02

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Solution

The fourth proportional to 203,082.24, 304,820.20 and 97,975.02 is: 147,057.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,082.24 : 304,820.20 = 97,975.02 : x
  2. Step 2: Convert to fraction form
    203,082.24/304,820.20 = 97,975.02/x
  3. Step 3: Cross multiply
    203,082.24x = 304,820.20 × 97,975.02
  4. Step 4: Simplify right side
    203,082.24x = 29,864,765,191.40
  5. Step 5: Solve for x
    x = 29,864,765,191.40/203,082.24
  6. Step 6: Final answer
    x = 147,057.49

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