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Finding the Fourth Proportional to 106,738.10, 160,106.94 and 100,242.71

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Solution

The fourth proportional to 106,738.10, 160,106.94 and 100,242.71 is: 150,363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,738.10 : 160,106.94 = 100,242.71 : x
  2. Step 2: Convert to fraction form
    106,738.10/160,106.94 = 100,242.71/x
  3. Step 3: Cross multiply
    106,738.10x = 160,106.94 × 100,242.71
  4. Step 4: Simplify right side
    106,738.10x = 16,049,552,754.87
  5. Step 5: Solve for x
    x = 16,049,552,754.87/106,738.10
  6. Step 6: Final answer
    x = 150,363.87

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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.