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Finding the Fourth Proportional to 106,162.57, 159,243.86 and 27,276.79

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Solution

The fourth proportional to 106,162.57, 159,243.86 and 27,276.79 is: 40,915.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,162.57 : 159,243.86 = 27,276.79 : x
  2. Step 2: Convert to fraction form
    106,162.57/159,243.86 = 27,276.79/x
  3. Step 3: Cross multiply
    106,162.57x = 159,243.86 × 27,276.79
  4. Step 4: Simplify right side
    106,162.57x = 4,343,661,328.01
  5. Step 5: Solve for x
    x = 4,343,661,328.01/106,162.57
  6. Step 6: Final answer
    x = 40,915.19

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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.