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Finding the Fourth Proportional to 106,099.83, 159,147.43 and 49,908.80

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Solution

The fourth proportional to 106,099.83, 159,147.43 and 49,908.80 is: 74,862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,099.83 : 159,147.43 = 49,908.80 : x
  2. Step 2: Convert to fraction form
    106,099.83/159,147.43 = 49,908.80/x
  3. Step 3: Cross multiply
    106,099.83x = 159,147.43 × 49,908.80
  4. Step 4: Simplify right side
    106,099.83x = 7,942,857,527.48
  5. Step 5: Solve for x
    x = 7,942,857,527.48/106,099.83
  6. Step 6: Final answer
    x = 74,862.11

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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.