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Finding the Fourth Proportional to 192,621.94, 265,813.16 and 106,578.67

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Solution

The fourth proportional to 192,621.94, 265,813.16 and 106,578.67 is: 147,075.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,621.94 : 265,813.16 = 106,578.67 : x
  2. Step 2: Convert to fraction form
    192,621.94/265,813.16 = 106,578.67/x
  3. Step 3: Cross multiply
    192,621.94x = 265,813.16 × 106,578.67
  4. Step 4: Simplify right side
    192,621.94x = 28,330,013,061.30
  5. Step 5: Solve for x
    x = 28,330,013,061.30/192,621.94
  6. Step 6: Final answer
    x = 147,075.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.