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Finding the Fourth Proportional to 133,025, 199,545.96 and 54,096.08

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Solution

The fourth proportional to 133,025, 199,545.96 and 54,096.08 is: 81,147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,025 : 199,545.96 = 54,096.08 : x
  2. Step 2: Convert to fraction form
    133,025/199,545.96 = 54,096.08/x
  3. Step 3: Cross multiply
    133,025x = 199,545.96 × 54,096.08
  4. Step 4: Simplify right side
    133,025x = 10,794,654,215.84
  5. Step 5: Solve for x
    x = 10,794,654,215.84/133,025
  6. Step 6: Final answer
    x = 81,147.56

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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.