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Finding the Fourth Proportional to 202,682.28, 304,089 and 97,487.52

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Solution

The fourth proportional to 202,682.28, 304,089 and 97,487.52 is: 146,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,682.28 : 304,089 = 97,487.52 : x
  2. Step 2: Convert to fraction form
    202,682.28/304,089 = 97,487.52/x
  3. Step 3: Cross multiply
    202,682.28x = 304,089 × 97,487.52
  4. Step 4: Simplify right side
    202,682.28x = 29,644,882,469.28
  5. Step 5: Solve for x
    x = 29,644,882,469.28/202,682.28
  6. Step 6: Final answer
    x = 146,262.82

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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.