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Finding the Fourth Proportional to 133,007.05, 199,510.81 and 106,521.50

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Solution

The fourth proportional to 133,007.05, 199,510.81 and 106,521.50 is: 159,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,007.05 : 199,510.81 = 106,521.50 : x
  2. Step 2: Convert to fraction form
    133,007.05/199,510.81 = 106,521.50/x
  3. Step 3: Cross multiply
    133,007.05x = 199,510.81 × 106,521.50
  4. Step 4: Simplify right side
    133,007.05x = 21,252,189,217.25
  5. Step 5: Solve for x
    x = 21,252,189,217.25/133,007.05
  6. Step 6: Final answer
    x = 159,782.43

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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.