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Finding the Fourth Proportional to 106,576.72, 159,864.80 and 100,081.06

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Solution

The fourth proportional to 106,576.72, 159,864.80 and 100,081.06 is: 150,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,576.72 : 159,864.80 = 100,081.06 : x
  2. Step 2: Convert to fraction form
    106,576.72/159,864.80 = 100,081.06/x
  3. Step 3: Cross multiply
    106,576.72x = 159,864.80 × 100,081.06
  4. Step 4: Simplify right side
    106,576.72x = 15,999,438,640.69
  5. Step 5: Solve for x
    x = 15,999,438,640.69/106,576.72
  6. Step 6: Final answer
    x = 150,121.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.