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Finding the Fourth Proportional to 202,082.02, 301,489.74 and 181,905.12

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Solution

The fourth proportional to 202,082.02, 301,489.74 and 181,905.12 is: 271,387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,082.02 : 301,489.74 = 181,905.12 : x
  2. Step 2: Convert to fraction form
    202,082.02/301,489.74 = 181,905.12/x
  3. Step 3: Cross multiply
    202,082.02x = 301,489.74 × 181,905.12
  4. Step 4: Simplify right side
    202,082.02x = 54,842,527,333.47
  5. Step 5: Solve for x
    x = 54,842,527,333.47/202,082.02
  6. Step 6: Final answer
    x = 271,387.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.