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Finding the Fourth Proportional to 192,740.01, 265,977.07 and 106,694.01

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Solution

The fourth proportional to 192,740.01, 265,977.07 and 106,694.01 is: 147,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,740.01 : 265,977.07 = 106,694.01 : x
  2. Step 2: Convert to fraction form
    192,740.01/265,977.07 = 106,694.01/x
  3. Step 3: Cross multiply
    192,740.01x = 265,977.07 × 106,694.01
  4. Step 4: Simplify right side
    192,740.01x = 28,378,159,899.62
  5. Step 5: Solve for x
    x = 28,378,159,899.62/192,740.01
  6. Step 6: Final answer
    x = 147,235.44

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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.