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Finding the Fourth Proportional to 243,658.20, 364,601.56 and 201,142.92

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Solution

The fourth proportional to 243,658.20, 364,601.56 and 201,142.92 is: 300,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,658.20 : 364,601.56 = 201,142.92 : x
  2. Step 2: Convert to fraction form
    243,658.20/364,601.56 = 201,142.92/x
  3. Step 3: Cross multiply
    243,658.20x = 364,601.56 × 201,142.92
  4. Step 4: Simplify right side
    243,658.20x = 73,337,022,414.96
  5. Step 5: Solve for x
    x = 73,337,022,414.96/243,658.20
  6. Step 6: Final answer
    x = 300,983.19

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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.